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Finding the Third Proportional to 342,360 and 500,862

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Solution

The third proportional to 342,360 and 500,862 is: 732,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,360 : 500,862 = 500,862 : x
  2. Step 2: Convert to fraction form
    342,360/500,862 = 500,862/x
  3. Step 3: Cross multiply
    342,360x = 500,862 × 500,862
  4. Step 4: Simplify right side
    342,360x = 250,862,743,044
  5. Step 5: Solve for x
    x = 250,862,743,044/342,360
  6. Step 6: Final answer
    x = 732,745.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.