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Finding the Third Proportional to 242,352 and 524,448

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Solution

The third proportional to 242,352 and 524,448 is: 1,134,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,352 : 524,448 = 524,448 : x
  2. Step 2: Convert to fraction form
    242,352/524,448 = 524,448/x
  3. Step 3: Cross multiply
    242,352x = 524,448 × 524,448
  4. Step 4: Simplify right side
    242,352x = 275,045,704,704
  5. Step 5: Solve for x
    x = 275,045,704,704/242,352
  6. Step 6: Final answer
    x = 1,134,901.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.