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Finding the Third Proportional to 336,730 and 725,940

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Solution

The third proportional to 336,730 and 725,940 is: 1,565,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,730 : 725,940 = 725,940 : x
  2. Step 2: Convert to fraction form
    336,730/725,940 = 725,940/x
  3. Step 3: Cross multiply
    336,730x = 725,940 × 725,940
  4. Step 4: Simplify right side
    336,730x = 526,988,883,600
  5. Step 5: Solve for x
    x = 526,988,883,600/336,730
  6. Step 6: Final answer
    x = 1,565,019.11

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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.