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Finding the Third Proportional to 592,211.25 and 866,203.88

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Solution

The third proportional to 592,211.25 and 866,203.88 is: 1,266,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,211.25 : 866,203.88 = 866,203.88 : x
  2. Step 2: Convert to fraction form
    592,211.25/866,203.88 = 866,203.88/x
  3. Step 3: Cross multiply
    592,211.25x = 866,203.88 × 866,203.88
  4. Step 4: Simplify right side
    592,211.25x = 750,309,153,065.02
  5. Step 5: Solve for x
    x = 750,309,153,065.02/592,211.25
  6. Step 6: Final answer
    x = 1,266,962.01

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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.