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Finding the Third Proportional to 291,013,424 and 439,541,472

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Solution

The third proportional to 291,013,424 and 439,541,472 is: 663,875,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,013,424 : 439,541,472 = 439,541,472 : x
  2. Step 2: Convert to fraction form
    291,013,424/439,541,472 = 439,541,472/x
  3. Step 3: Cross multiply
    291,013,424x = 439,541,472 × 439,541,472
  4. Step 4: Simplify right side
    291,013,424x = 193,196,705,607,926,784
  5. Step 5: Solve for x
    x = 193,196,705,607,926,784/291,013,424
  6. Step 6: Final answer
    x = 663,875,579.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.