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Finding the Third Proportional to 415,141,153 and 583,948,306

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Solution

The third proportional to 415,141,153 and 583,948,306 is: 821,396,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,141,153 : 583,948,306 = 583,948,306 : x
  2. Step 2: Convert to fraction form
    415,141,153/583,948,306 = 583,948,306/x
  3. Step 3: Cross multiply
    415,141,153x = 583,948,306 × 583,948,306
  4. Step 4: Simplify right side
    415,141,153x = 340,995,624,080,269,632
  5. Step 5: Solve for x
    x = 340,995,624,080,269,632/415,141,153
  6. Step 6: Final answer
    x = 821,396,822.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.