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Finding the Third Proportional to 467,124 and 709,920

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Solution

The third proportional to 467,124 and 709,920 is: 1,078,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,124 : 709,920 = 709,920 : x
  2. Step 2: Convert to fraction form
    467,124/709,920 = 709,920/x
  3. Step 3: Cross multiply
    467,124x = 709,920 × 709,920
  4. Step 4: Simplify right side
    467,124x = 503,986,406,400
  5. Step 5: Solve for x
    x = 503,986,406,400/467,124
  6. Step 6: Final answer
    x = 1,078,913.54

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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.