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Finding the Third Proportional to 272,146.50 and 583,659

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Solution

The third proportional to 272,146.50 and 583,659 is: 1,251,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,146.50 : 583,659 = 583,659 : x
  2. Step 2: Convert to fraction form
    272,146.50/583,659 = 583,659/x
  3. Step 3: Cross multiply
    272,146.50x = 583,659 × 583,659
  4. Step 4: Simplify right side
    272,146.50x = 340,657,828,281
  5. Step 5: Solve for x
    x = 340,657,828,281/272,146.50
  6. Step 6: Final answer
    x = 1,251,744.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.