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Finding the Third Proportional to 336,612 and 725,712

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Solution

The third proportional to 336,612 and 725,712 is: 1,564,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,612 : 725,712 = 725,712 : x
  2. Step 2: Convert to fraction form
    336,612/725,712 = 725,712/x
  3. Step 3: Cross multiply
    336,612x = 725,712 × 725,712
  4. Step 4: Simplify right side
    336,612x = 526,657,906,944
  5. Step 5: Solve for x
    x = 526,657,906,944/336,612
  6. Step 6: Final answer
    x = 1,564,584.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.