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Finding the Third Proportional to 344,001 and 518,017.50

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Solution

The third proportional to 344,001 and 518,017.50 is: 780,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,001 : 518,017.50 = 518,017.50 : x
  2. Step 2: Convert to fraction form
    344,001/518,017.50 = 518,017.50/x
  3. Step 3: Cross multiply
    344,001x = 518,017.50 × 518,017.50
  4. Step 4: Simplify right side
    344,001x = 268,342,130,306.25
  5. Step 5: Solve for x
    x = 268,342,130,306.25/344,001
  6. Step 6: Final answer
    x = 780,062.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.