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Finding the Third Proportional to 272,871.75 and 574,017.75

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Solution

The third proportional to 272,871.75 and 574,017.75 is: 1,207,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,871.75 : 574,017.75 = 574,017.75 : x
  2. Step 2: Convert to fraction form
    272,871.75/574,017.75 = 574,017.75/x
  3. Step 3: Cross multiply
    272,871.75x = 574,017.75 × 574,017.75
  4. Step 4: Simplify right side
    272,871.75x = 329,496,377,315.06
  5. Step 5: Solve for x
    x = 329,496,377,315.06/272,871.75
  6. Step 6: Final answer
    x = 1,207,513.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.