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Finding the Third Proportional to 336,022,227.50 and 527,119,247.50

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Solution

The third proportional to 336,022,227.50 and 527,119,247.50 is: 826,893,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,022,227.50 : 527,119,247.50 = 527,119,247.50 : x
  2. Step 2: Convert to fraction form
    336,022,227.50/527,119,247.50 = 527,119,247.50/x
  3. Step 3: Cross multiply
    336,022,227.50x = 527,119,247.50 × 527,119,247.50
  4. Step 4: Simplify right side
    336,022,227.50x = 277,854,701,084,966,272
  5. Step 5: Solve for x
    x = 277,854,701,084,966,272/336,022,227.50
  6. Step 6: Final answer
    x = 826,893,813.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.