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Finding the Third Proportional to 709,000.88 and 1,074,206.25

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Solution

The third proportional to 709,000.88 and 1,074,206.25 is: 1,627,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,000.88 : 1,074,206.25 = 1,074,206.25 : x
  2. Step 2: Convert to fraction form
    709,000.88/1,074,206.25 = 1,074,206.25/x
  3. Step 3: Cross multiply
    709,000.88x = 1,074,206.25 × 1,074,206.25
  4. Step 4: Simplify right side
    709,000.88x = 1,153,919,067,539.06
  5. Step 5: Solve for x
    x = 1,153,919,067,539.06/709,000.88
  6. Step 6: Final answer
    x = 1,627,528.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.