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Finding the Third Proportional to 287,956,965 and 463,705,591.50

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Solution

The third proportional to 287,956,965 and 463,705,591.50 is: 746,718,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,956,965 : 463,705,591.50 = 463,705,591.50 : x
  2. Step 2: Convert to fraction form
    287,956,965/463,705,591.50 = 463,705,591.50/x
  3. Step 3: Cross multiply
    287,956,965x = 463,705,591.50 × 463,705,591.50
  4. Step 4: Simplify right side
    287,956,965x = 215,022,875,588,364,864
  5. Step 5: Solve for x
    x = 215,022,875,588,364,864/287,956,965
  6. Step 6: Final answer
    x = 746,718,786.91

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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.