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Finding the Third Proportional to 472,675.50 and 709,357.50

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Solution

The third proportional to 472,675.50 and 709,357.50 is: 1,064,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,675.50 : 709,357.50 = 709,357.50 : x
  2. Step 2: Convert to fraction form
    472,675.50/709,357.50 = 709,357.50/x
  3. Step 3: Cross multiply
    472,675.50x = 709,357.50 × 709,357.50
  4. Step 4: Simplify right side
    472,675.50x = 503,188,062,806.25
  5. Step 5: Solve for x
    x = 503,188,062,806.25/472,675.50
  6. Step 6: Final answer
    x = 1,064,552.88

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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.