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Finding the Third Proportional to 370,372 and 524,418

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Solution

The third proportional to 370,372 and 524,418 is: 742,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,372 : 524,418 = 524,418 : x
  2. Step 2: Convert to fraction form
    370,372/524,418 = 524,418/x
  3. Step 3: Cross multiply
    370,372x = 524,418 × 524,418
  4. Step 4: Simplify right side
    370,372x = 275,014,238,724
  5. Step 5: Solve for x
    x = 275,014,238,724/370,372
  6. Step 6: Final answer
    x = 742,535.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.