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Finding the Third Proportional to 357,534.75 and 524,614.13

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Solution

The third proportional to 357,534.75 and 524,614.13 is: 769,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,534.75 : 524,614.13 = 524,614.13 : x
  2. Step 2: Convert to fraction form
    357,534.75/524,614.13 = 524,614.13/x
  3. Step 3: Cross multiply
    357,534.75x = 524,614.13 × 524,614.13
  4. Step 4: Simplify right side
    357,534.75x = 275,219,980,149.52
  5. Step 5: Solve for x
    x = 275,219,980,149.52/357,534.75
  6. Step 6: Final answer
    x = 769,771.27

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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.