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Finding the Third Proportional to 349,876 and 724,646

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Solution

The third proportional to 349,876 and 724,646 is: 1,500,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,876 : 724,646 = 724,646 : x
  2. Step 2: Convert to fraction form
    349,876/724,646 = 724,646/x
  3. Step 3: Cross multiply
    349,876x = 724,646 × 724,646
  4. Step 4: Simplify right side
    349,876x = 525,111,825,316
  5. Step 5: Solve for x
    x = 525,111,825,316/349,876
  6. Step 6: Final answer
    x = 1,500,851.23

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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.