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Finding the Third Proportional to 584,514 and 913,680

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Solution

The third proportional to 584,514 and 913,680 is: 1,428,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,514 : 913,680 = 913,680 : x
  2. Step 2: Convert to fraction form
    584,514/913,680 = 913,680/x
  3. Step 3: Cross multiply
    584,514x = 913,680 × 913,680
  4. Step 4: Simplify right side
    584,514x = 834,811,142,400
  5. Step 5: Solve for x
    x = 834,811,142,400/584,514
  6. Step 6: Final answer
    x = 1,428,214.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.