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Finding the Third Proportional to 256,758.50 and 554,113

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Solution

The third proportional to 256,758.50 and 554,113 is: 1,195,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,758.50 : 554,113 = 554,113 : x
  2. Step 2: Convert to fraction form
    256,758.50/554,113 = 554,113/x
  3. Step 3: Cross multiply
    256,758.50x = 554,113 × 554,113
  4. Step 4: Simplify right side
    256,758.50x = 307,041,216,769
  5. Step 5: Solve for x
    x = 307,041,216,769/256,758.50
  6. Step 6: Final answer
    x = 1,195,836.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.