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Finding the Third Proportional to 229,662 and 506,952

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Solution

The third proportional to 229,662 and 506,952 is: 1,119,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,662 : 506,952 = 506,952 : x
  2. Step 2: Convert to fraction form
    229,662/506,952 = 506,952/x
  3. Step 3: Cross multiply
    229,662x = 506,952 × 506,952
  4. Step 4: Simplify right side
    229,662x = 257,000,330,304
  5. Step 5: Solve for x
    x = 257,000,330,304/229,662
  6. Step 6: Final answer
    x = 1,119,037.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.