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Finding the Third Proportional to 584,520 and 913,689

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Solution

The third proportional to 584,520 and 913,689 is: 1,428,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,520 : 913,689 = 913,689 : x
  2. Step 2: Convert to fraction form
    584,520/913,689 = 913,689/x
  3. Step 3: Cross multiply
    584,520x = 913,689 × 913,689
  4. Step 4: Simplify right side
    584,520x = 834,827,588,721
  5. Step 5: Solve for x
    x = 834,827,588,721/584,520
  6. Step 6: Final answer
    x = 1,428,227.59

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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.