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Finding the Third Proportional to 254,586.38 and 530,091

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Solution

The third proportional to 254,586.38 and 530,091 is: 1,103,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,586.38 : 530,091 = 530,091 : x
  2. Step 2: Convert to fraction form
    254,586.38/530,091 = 530,091/x
  3. Step 3: Cross multiply
    254,586.38x = 530,091 × 530,091
  4. Step 4: Simplify right side
    254,586.38x = 280,996,468,281
  5. Step 5: Solve for x
    x = 280,996,468,281/254,586.38
  6. Step 6: Final answer
    x = 1,103,737.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.