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Finding the Third Proportional to 285,509,324 and 625,422,460

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Solution

The third proportional to 285,509,324 and 625,422,460 is: 1,370,019,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,509,324 : 625,422,460 = 625,422,460 : x
  2. Step 2: Convert to fraction form
    285,509,324/625,422,460 = 625,422,460/x
  3. Step 3: Cross multiply
    285,509,324x = 625,422,460 × 625,422,460
  4. Step 4: Simplify right side
    285,509,324x = 391,153,253,472,451,584
  5. Step 5: Solve for x
    x = 391,153,253,472,451,584/285,509,324
  6. Step 6: Final answer
    x = 1,370,019,192.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.