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Finding the Third Proportional to 336,377 and 560,607

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Solution

The third proportional to 336,377 and 560,607 is: 934,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,377 : 560,607 = 560,607 : x
  2. Step 2: Convert to fraction form
    336,377/560,607 = 560,607/x
  3. Step 3: Cross multiply
    336,377x = 560,607 × 560,607
  4. Step 4: Simplify right side
    336,377x = 314,280,208,449
  5. Step 5: Solve for x
    x = 314,280,208,449/336,377
  6. Step 6: Final answer
    x = 934,309.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.