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Finding the Third Proportional to 287,956,962 and 463,705,587

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Solution

The third proportional to 287,956,962 and 463,705,587 is: 746,718,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,956,962 : 463,705,587 = 463,705,587 : x
  2. Step 2: Convert to fraction form
    287,956,962/463,705,587 = 463,705,587/x
  3. Step 3: Cross multiply
    287,956,962x = 463,705,587 × 463,705,587
  4. Step 4: Simplify right side
    287,956,962x = 215,022,871,415,014,560
  5. Step 5: Solve for x
    x = 215,022,871,415,014,560/287,956,962
  6. Step 6: Final answer
    x = 746,718,780.20

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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.