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Finding the Third Proportional to 602,871 and 803,670

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Solution

The third proportional to 602,871 and 803,670 is: 1,071,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,871 : 803,670 = 803,670 : x
  2. Step 2: Convert to fraction form
    602,871/803,670 = 803,670/x
  3. Step 3: Cross multiply
    602,871x = 803,670 × 803,670
  4. Step 4: Simplify right side
    602,871x = 645,885,468,900
  5. Step 5: Solve for x
    x = 645,885,468,900/602,871
  6. Step 6: Final answer
    x = 1,071,349.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.