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Finding the Third Proportional to 287,957,288 and 463,706,072

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Solution

The third proportional to 287,957,288 and 463,706,072 is: 746,719,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,957,288 : 463,706,072 = 463,706,072 : x
  2. Step 2: Convert to fraction form
    287,957,288/463,706,072 = 463,706,072/x
  3. Step 3: Cross multiply
    287,957,288x = 463,706,072 × 463,706,072
  4. Step 4: Simplify right side
    287,957,288x = 215,023,321,209,669,184
  5. Step 5: Solve for x
    x = 215,023,321,209,669,184/287,957,288
  6. Step 6: Final answer
    x = 746,719,496.85

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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.