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Finding the Third Proportional to 602,234 and 880,731

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Solution

The third proportional to 602,234 and 880,731 is: 1,288,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,234 : 880,731 = 880,731 : x
  2. Step 2: Convert to fraction form
    602,234/880,731 = 880,731/x
  3. Step 3: Cross multiply
    602,234x = 880,731 × 880,731
  4. Step 4: Simplify right side
    602,234x = 775,687,094,361
  5. Step 5: Solve for x
    x = 775,687,094,361/602,234
  6. Step 6: Final answer
    x = 1,288,016.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.