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Finding the Third Proportional to 506,424 and 801,921

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Solution

The third proportional to 506,424 and 801,921 is: 1,269,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,424 : 801,921 = 801,921 : x
  2. Step 2: Convert to fraction form
    506,424/801,921 = 801,921/x
  3. Step 3: Cross multiply
    506,424x = 801,921 × 801,921
  4. Step 4: Simplify right side
    506,424x = 643,077,290,241
  5. Step 5: Solve for x
    x = 643,077,290,241/506,424
  6. Step 6: Final answer
    x = 1,269,839.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.