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Finding the Third Proportional to 462,006 and 691,128

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Solution

The third proportional to 462,006 and 691,128 is: 1,033,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,006 : 691,128 = 691,128 : x
  2. Step 2: Convert to fraction form
    462,006/691,128 = 691,128/x
  3. Step 3: Cross multiply
    462,006x = 691,128 × 691,128
  4. Step 4: Simplify right side
    462,006x = 477,657,912,384
  5. Step 5: Solve for x
    x = 477,657,912,384/462,006
  6. Step 6: Final answer
    x = 1,033,878.16

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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.