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Finding the Third Proportional to 300,707,886 and 478,490,332.50

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Solution

The third proportional to 300,707,886 and 478,490,332.50 is: 761,380,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,707,886 : 478,490,332.50 = 478,490,332.50 : x
  2. Step 2: Convert to fraction form
    300,707,886/478,490,332.50 = 478,490,332.50/x
  3. Step 3: Cross multiply
    300,707,886x = 478,490,332.50 × 478,490,332.50
  4. Step 4: Simplify right side
    300,707,886x = 228,952,998,295,960,544
  5. Step 5: Solve for x
    x = 228,952,998,295,960,544/300,707,886
  6. Step 6: Final answer
    x = 761,380,093.29

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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.