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Finding the Third Proportional to 335,053 and 518,132.50

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Solution

The third proportional to 335,053 and 518,132.50 is: 801,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,053 : 518,132.50 = 518,132.50 : x
  2. Step 2: Convert to fraction form
    335,053/518,132.50 = 518,132.50/x
  3. Step 3: Cross multiply
    335,053x = 518,132.50 × 518,132.50
  4. Step 4: Simplify right side
    335,053x = 268,461,287,556.25
  5. Step 5: Solve for x
    x = 268,461,287,556.25/335,053
  6. Step 6: Final answer
    x = 801,250.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.