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Finding the Third Proportional to 334,972.13 and 730,172.25

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Solution

The third proportional to 334,972.13 and 730,172.25 is: 1,591,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,972.13 : 730,172.25 = 730,172.25 : x
  2. Step 2: Convert to fraction form
    334,972.13/730,172.25 = 730,172.25/x
  3. Step 3: Cross multiply
    334,972.13x = 730,172.25 × 730,172.25
  4. Step 4: Simplify right side
    334,972.13x = 533,151,514,670.06
  5. Step 5: Solve for x
    x = 533,151,514,670.06/334,972.13
  6. Step 6: Final answer
    x = 1,591,629.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.