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Finding the Third Proportional to 520,758 and 811,586.25

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Solution

The third proportional to 520,758 and 811,586.25 is: 1,264,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,758 : 811,586.25 = 811,586.25 : x
  2. Step 2: Convert to fraction form
    520,758/811,586.25 = 811,586.25/x
  3. Step 3: Cross multiply
    520,758x = 811,586.25 × 811,586.25
  4. Step 4: Simplify right side
    520,758x = 658,672,241,189.06
  5. Step 5: Solve for x
    x = 658,672,241,189.06/520,758
  6. Step 6: Final answer
    x = 1,264,833.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.