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Finding the Third Proportional to 490,578,707.57 and 754,053,269.63

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Solution

The third proportional to 490,578,707.57 and 754,053,269.63 is: 1,159,031,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,578,707.57 : 754,053,269.63 = 754,053,269.63 : x
  2. Step 2: Convert to fraction form
    490,578,707.57/754,053,269.63 = 754,053,269.63/x
  3. Step 3: Cross multiply
    490,578,707.57x = 754,053,269.63 × 754,053,269.63
  4. Step 4: Simplify right side
    490,578,707.57x = 568,596,333,432,152,960
  5. Step 5: Solve for x
    x = 568,596,333,432,152,960/490,578,707.57
  6. Step 6: Final answer
    x = 1,159,031,822.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.