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Finding the Third Proportional to 287,957,292 and 463,706,078

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Solution

The third proportional to 287,957,292 and 463,706,078 is: 746,719,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,957,292 : 463,706,078 = 463,706,078 : x
  2. Step 2: Convert to fraction form
    287,957,292/463,706,078 = 463,706,078/x
  3. Step 3: Cross multiply
    287,957,292x = 463,706,078 × 463,706,078
  4. Step 4: Simplify right side
    287,957,292x = 215,023,326,774,142,080
  5. Step 5: Solve for x
    x = 215,023,326,774,142,080/287,957,292
  6. Step 6: Final answer
    x = 746,719,505.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.