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Finding the Third Proportional to 233,617.50 and 502,776

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Solution

The third proportional to 233,617.50 and 502,776 is: 1,082,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,617.50 : 502,776 = 502,776 : x
  2. Step 2: Convert to fraction form
    233,617.50/502,776 = 502,776/x
  3. Step 3: Cross multiply
    233,617.50x = 502,776 × 502,776
  4. Step 4: Simplify right side
    233,617.50x = 252,783,706,176
  5. Step 5: Solve for x
    x = 252,783,706,176/233,617.50
  6. Step 6: Final answer
    x = 1,082,040.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.