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Finding the Third Proportional to 272,548 and 597,026

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Solution

The third proportional to 272,548 and 597,026 is: 1,307,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,548 : 597,026 = 597,026 : x
  2. Step 2: Convert to fraction form
    272,548/597,026 = 597,026/x
  3. Step 3: Cross multiply
    272,548x = 597,026 × 597,026
  4. Step 4: Simplify right side
    272,548x = 356,440,044,676
  5. Step 5: Solve for x
    x = 356,440,044,676/272,548
  6. Step 6: Final answer
    x = 1,307,806.50

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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.