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Finding the Third Proportional to 276,502.50 and 564,669

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Solution

The third proportional to 276,502.50 and 564,669 is: 1,153,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,502.50 : 564,669 = 564,669 : x
  2. Step 2: Convert to fraction form
    276,502.50/564,669 = 564,669/x
  3. Step 3: Cross multiply
    276,502.50x = 564,669 × 564,669
  4. Step 4: Simplify right side
    276,502.50x = 318,851,079,561
  5. Step 5: Solve for x
    x = 318,851,079,561/276,502.50
  6. Step 6: Final answer
    x = 1,153,158.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.