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Finding the Third Proportional to 497,238.75 and 736,533

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Solution

The third proportional to 497,238.75 and 736,533 is: 1,090,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,238.75 : 736,533 = 736,533 : x
  2. Step 2: Convert to fraction form
    497,238.75/736,533 = 736,533/x
  3. Step 3: Cross multiply
    497,238.75x = 736,533 × 736,533
  4. Step 4: Simplify right side
    497,238.75x = 542,480,860,089
  5. Step 5: Solve for x
    x = 542,480,860,089/497,238.75
  6. Step 6: Final answer
    x = 1,090,986.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.