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Finding the Third Proportional to 342,468 and 732,462.75

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Solution

The third proportional to 342,468 and 732,462.75 is: 1,566,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,468 : 732,462.75 = 732,462.75 : x
  2. Step 2: Convert to fraction form
    342,468/732,462.75 = 732,462.75/x
  3. Step 3: Cross multiply
    342,468x = 732,462.75 × 732,462.75
  4. Step 4: Simplify right side
    342,468x = 536,501,680,137.56
  5. Step 5: Solve for x
    x = 536,501,680,137.56/342,468
  6. Step 6: Final answer
    x = 1,566,574.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.