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Finding the Third Proportional to 227,952 and 497,862

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Solution

The third proportional to 227,952 and 497,862 is: 1,087,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,952 : 497,862 = 497,862 : x
  2. Step 2: Convert to fraction form
    227,952/497,862 = 497,862/x
  3. Step 3: Cross multiply
    227,952x = 497,862 × 497,862
  4. Step 4: Simplify right side
    227,952x = 247,866,571,044
  5. Step 5: Solve for x
    x = 247,866,571,044/227,952
  6. Step 6: Final answer
    x = 1,087,363.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.