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Finding the Third Proportional to 404,724 and 584,709

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Solution

The third proportional to 404,724 and 584,709 is: 844,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,724 : 584,709 = 584,709 : x
  2. Step 2: Convert to fraction form
    404,724/584,709 = 584,709/x
  3. Step 3: Cross multiply
    404,724x = 584,709 × 584,709
  4. Step 4: Simplify right side
    404,724x = 341,884,614,681
  5. Step 5: Solve for x
    x = 341,884,614,681/404,724
  6. Step 6: Final answer
    x = 844,735.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.