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Finding the Third Proportional to 688,058.25 and 1,062,766.50

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Solution

The third proportional to 688,058.25 and 1,062,766.50 is: 1,641,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,058.25 : 1,062,766.50 = 1,062,766.50 : x
  2. Step 2: Convert to fraction form
    688,058.25/1,062,766.50 = 1,062,766.50/x
  3. Step 3: Cross multiply
    688,058.25x = 1,062,766.50 × 1,062,766.50
  4. Step 4: Simplify right side
    688,058.25x = 1,129,472,633,522.25
  5. Step 5: Solve for x
    x = 1,129,472,633,522.25/688,058.25
  6. Step 6: Final answer
    x = 1,641,536.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.