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Finding the Third Proportional to 524,952 and 814,392

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Solution

The third proportional to 524,952 and 814,392 is: 1,263,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,952 : 814,392 = 814,392 : x
  2. Step 2: Convert to fraction form
    524,952/814,392 = 814,392/x
  3. Step 3: Cross multiply
    524,952x = 814,392 × 814,392
  4. Step 4: Simplify right side
    524,952x = 663,234,329,664
  5. Step 5: Solve for x
    x = 663,234,329,664/524,952
  6. Step 6: Final answer
    x = 1,263,419.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.