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Finding the Third Proportional to 467,779.50 and 711,510.75

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Solution

The third proportional to 467,779.50 and 711,510.75 is: 1,082,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,779.50 : 711,510.75 = 711,510.75 : x
  2. Step 2: Convert to fraction form
    467,779.50/711,510.75 = 711,510.75/x
  3. Step 3: Cross multiply
    467,779.50x = 711,510.75 × 711,510.75
  4. Step 4: Simplify right side
    467,779.50x = 506,247,547,365.56
  5. Step 5: Solve for x
    x = 506,247,547,365.56/467,779.50
  6. Step 6: Final answer
    x = 1,082,235.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.