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Finding the Third Proportional to 342,071 and 536,605

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Solution

The third proportional to 342,071 and 536,605 is: 841,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,071 : 536,605 = 536,605 : x
  2. Step 2: Convert to fraction form
    342,071/536,605 = 536,605/x
  3. Step 3: Cross multiply
    342,071x = 536,605 × 536,605
  4. Step 4: Simplify right side
    342,071x = 287,944,926,025
  5. Step 5: Solve for x
    x = 287,944,926,025/342,071
  6. Step 6: Final answer
    x = 841,769.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.