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Finding the Third Proportional to 334,153.50 and 720,271.50

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Solution

The third proportional to 334,153.50 and 720,271.50 is: 1,552,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,153.50 : 720,271.50 = 720,271.50 : x
  2. Step 2: Convert to fraction form
    334,153.50/720,271.50 = 720,271.50/x
  3. Step 3: Cross multiply
    334,153.50x = 720,271.50 × 720,271.50
  4. Step 4: Simplify right side
    334,153.50x = 518,791,033,712.25
  5. Step 5: Solve for x
    x = 518,791,033,712.25/334,153.50
  6. Step 6: Final answer
    x = 1,552,553.04

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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.