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Finding the Third Proportional to 273,060 and 598,606

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Solution

The third proportional to 273,060 and 598,606 is: 1,312,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,060 : 598,606 = 598,606 : x
  2. Step 2: Convert to fraction form
    273,060/598,606 = 598,606/x
  3. Step 3: Cross multiply
    273,060x = 598,606 × 598,606
  4. Step 4: Simplify right side
    273,060x = 358,329,143,236
  5. Step 5: Solve for x
    x = 358,329,143,236/273,060
  6. Step 6: Final answer
    x = 1,312,272.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.