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Finding the Third Proportional to 272,761 and 583,429

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Solution

The third proportional to 272,761 and 583,429 is: 1,247,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,761 : 583,429 = 583,429 : x
  2. Step 2: Convert to fraction form
    272,761/583,429 = 583,429/x
  3. Step 3: Cross multiply
    272,761x = 583,429 × 583,429
  4. Step 4: Simplify right side
    272,761x = 340,389,398,041
  5. Step 5: Solve for x
    x = 340,389,398,041/272,761
  6. Step 6: Final answer
    x = 1,247,940.13

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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.