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Finding the Third Proportional to 187,547 and 442,451

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Solution

The third proportional to 187,547 and 442,451 is: 1,043,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,547 : 442,451 = 442,451 : x
  2. Step 2: Convert to fraction form
    187,547/442,451 = 442,451/x
  3. Step 3: Cross multiply
    187,547x = 442,451 × 442,451
  4. Step 4: Simplify right side
    187,547x = 195,762,887,401
  5. Step 5: Solve for x
    x = 195,762,887,401/187,547
  6. Step 6: Final answer
    x = 1,043,807.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.