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Finding the Third Proportional to 336,607 and 725,701

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Solution

The third proportional to 336,607 and 725,701 is: 1,564,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,607 : 725,701 = 725,701 : x
  2. Step 2: Convert to fraction form
    336,607/725,701 = 725,701/x
  3. Step 3: Cross multiply
    336,607x = 725,701 × 725,701
  4. Step 4: Simplify right side
    336,607x = 526,641,941,401
  5. Step 5: Solve for x
    x = 526,641,941,401/336,607
  6. Step 6: Final answer
    x = 1,564,560.28

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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.