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Finding the Third Proportional to 357,419 and 524,464

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Solution

The third proportional to 357,419 and 524,464 is: 769,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,419 : 524,464 = 524,464 : x
  2. Step 2: Convert to fraction form
    357,419/524,464 = 524,464/x
  3. Step 3: Cross multiply
    357,419x = 524,464 × 524,464
  4. Step 4: Simplify right side
    357,419x = 275,062,487,296
  5. Step 5: Solve for x
    x = 275,062,487,296/357,419
  6. Step 6: Final answer
    x = 769,579.93

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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.