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Finding the Third Proportional to 349,857 and 724,607

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Solution

The third proportional to 349,857 and 724,607 is: 1,500,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,857 : 724,607 = 724,607 : x
  2. Step 2: Convert to fraction form
    349,857/724,607 = 724,607/x
  3. Step 3: Cross multiply
    349,857x = 724,607 × 724,607
  4. Step 4: Simplify right side
    349,857x = 525,055,304,449
  5. Step 5: Solve for x
    x = 525,055,304,449/349,857
  6. Step 6: Final answer
    x = 1,500,771.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.