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Finding the Third Proportional to 472,824 and 709,720

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Solution

The third proportional to 472,824 and 709,720 is: 1,065,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,824 : 709,720 = 709,720 : x
  2. Step 2: Convert to fraction form
    472,824/709,720 = 709,720/x
  3. Step 3: Cross multiply
    472,824x = 709,720 × 709,720
  4. Step 4: Simplify right side
    472,824x = 503,702,478,400
  5. Step 5: Solve for x
    x = 503,702,478,400/472,824
  6. Step 6: Final answer
    x = 1,065,306.50

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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.