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Finding the Third Proportional to 334,560 and 501,792

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Solution

The third proportional to 334,560 and 501,792 is: 752,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,560 : 501,792 = 501,792 : x
  2. Step 2: Convert to fraction form
    334,560/501,792 = 501,792/x
  3. Step 3: Cross multiply
    334,560x = 501,792 × 501,792
  4. Step 4: Simplify right side
    334,560x = 251,795,211,264
  5. Step 5: Solve for x
    x = 251,795,211,264/334,560
  6. Step 6: Final answer
    x = 752,616.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.