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Finding the Third Proportional to 415,926 and 621,117

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Solution

The third proportional to 415,926 and 621,117 is: 927,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,926 : 621,117 = 621,117 : x
  2. Step 2: Convert to fraction form
    415,926/621,117 = 621,117/x
  3. Step 3: Cross multiply
    415,926x = 621,117 × 621,117
  4. Step 4: Simplify right side
    415,926x = 385,786,327,689
  5. Step 5: Solve for x
    x = 385,786,327,689/415,926
  6. Step 6: Final answer
    x = 927,535.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.