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Finding the Third Proportional to 475,264,224 and 756,238,788

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Solution

The third proportional to 475,264,224 and 756,238,788 is: 1,203,324,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,264,224 : 756,238,788 = 756,238,788 : x
  2. Step 2: Convert to fraction form
    475,264,224/756,238,788 = 756,238,788/x
  3. Step 3: Cross multiply
    475,264,224x = 756,238,788 × 756,238,788
  4. Step 4: Simplify right side
    475,264,224x = 571,897,104,475,708,928
  5. Step 5: Solve for x
    x = 571,897,104,475,708,928/475,264,224
  6. Step 6: Final answer
    x = 1,203,324,541.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.