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Finding the Third Proportional to 462,029 and 691,164

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Solution

The third proportional to 462,029 and 691,164 is: 1,033,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,029 : 691,164 = 691,164 : x
  2. Step 2: Convert to fraction form
    462,029/691,164 = 691,164/x
  3. Step 3: Cross multiply
    462,029x = 691,164 × 691,164
  4. Step 4: Simplify right side
    462,029x = 477,707,674,896
  5. Step 5: Solve for x
    x = 477,707,674,896/462,029
  6. Step 6: Final answer
    x = 1,033,934.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.