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Finding the Third Proportional to 425,746 and 709,548

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Solution

The third proportional to 425,746 and 709,548 is: 1,182,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,746 : 709,548 = 709,548 : x
  2. Step 2: Convert to fraction form
    425,746/709,548 = 709,548/x
  3. Step 3: Cross multiply
    425,746x = 709,548 × 709,548
  4. Step 4: Simplify right side
    425,746x = 503,458,364,304
  5. Step 5: Solve for x
    x = 503,458,364,304/425,746
  6. Step 6: Final answer
    x = 1,182,532.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.