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Finding the Third Proportional to 342,360 and 500,859

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Solution

The third proportional to 342,360 and 500,859 is: 732,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,360 : 500,859 = 500,859 : x
  2. Step 2: Convert to fraction form
    342,360/500,859 = 500,859/x
  3. Step 3: Cross multiply
    342,360x = 500,859 × 500,859
  4. Step 4: Simplify right side
    342,360x = 250,859,737,881
  5. Step 5: Solve for x
    x = 250,859,737,881/342,360
  6. Step 6: Final answer
    x = 732,736.70

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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.