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Finding the Third Proportional to 266,068 and 569,032

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Solution

The third proportional to 266,068 and 569,032 is: 1,216,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,068 : 569,032 = 569,032 : x
  2. Step 2: Convert to fraction form
    266,068/569,032 = 569,032/x
  3. Step 3: Cross multiply
    266,068x = 569,032 × 569,032
  4. Step 4: Simplify right side
    266,068x = 323,797,417,024
  5. Step 5: Solve for x
    x = 323,797,417,024/266,068
  6. Step 6: Final answer
    x = 1,216,972.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.