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Finding the Third Proportional to 501,952 and 736,188

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Solution

The third proportional to 501,952 and 736,188 is: 1,079,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,952 : 736,188 = 736,188 : x
  2. Step 2: Convert to fraction form
    501,952/736,188 = 736,188/x
  3. Step 3: Cross multiply
    501,952x = 736,188 × 736,188
  4. Step 4: Simplify right side
    501,952x = 541,972,771,344
  5. Step 5: Solve for x
    x = 541,972,771,344/501,952
  6. Step 6: Final answer
    x = 1,079,730.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.