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Finding the Third Proportional to 349,672 and 728,864

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Solution

The third proportional to 349,672 and 728,864 is: 1,519,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,672 : 728,864 = 728,864 : x
  2. Step 2: Convert to fraction form
    349,672/728,864 = 728,864/x
  3. Step 3: Cross multiply
    349,672x = 728,864 × 728,864
  4. Step 4: Simplify right side
    349,672x = 531,242,730,496
  5. Step 5: Solve for x
    x = 531,242,730,496/349,672
  6. Step 6: Final answer
    x = 1,519,260.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.