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Finding the Third Proportional to 575,676 and 863,586

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Solution

The third proportional to 575,676 and 863,586 is: 1,295,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,676 : 863,586 = 863,586 : x
  2. Step 2: Convert to fraction form
    575,676/863,586 = 863,586/x
  3. Step 3: Cross multiply
    575,676x = 863,586 × 863,586
  4. Step 4: Simplify right side
    575,676x = 745,780,779,396
  5. Step 5: Solve for x
    x = 745,780,779,396/575,676
  6. Step 6: Final answer
    x = 1,295,487.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.