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Finding the Third Proportional to 602,281 and 880,761

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Solution

The third proportional to 602,281 and 880,761 is: 1,288,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,281 : 880,761 = 880,761 : x
  2. Step 2: Convert to fraction form
    602,281/880,761 = 880,761/x
  3. Step 3: Cross multiply
    602,281x = 880,761 × 880,761
  4. Step 4: Simplify right side
    602,281x = 775,739,939,121
  5. Step 5: Solve for x
    x = 775,739,939,121/602,281
  6. Step 6: Final answer
    x = 1,288,003.34

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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.