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Finding the Third Proportional to 385,567.50 and 817,791

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Solution

The third proportional to 385,567.50 and 817,791 is: 1,734,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,567.50 : 817,791 = 817,791 : x
  2. Step 2: Convert to fraction form
    385,567.50/817,791 = 817,791/x
  3. Step 3: Cross multiply
    385,567.50x = 817,791 × 817,791
  4. Step 4: Simplify right side
    385,567.50x = 668,782,119,681
  5. Step 5: Solve for x
    x = 668,782,119,681/385,567.50
  6. Step 6: Final answer
    x = 1,734,539.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.