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Finding the Third Proportional to 342,359 and 500,860

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Solution

The third proportional to 342,359 and 500,860 is: 732,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,359 : 500,860 = 500,860 : x
  2. Step 2: Convert to fraction form
    342,359/500,860 = 500,860/x
  3. Step 3: Cross multiply
    342,359x = 500,860 × 500,860
  4. Step 4: Simplify right side
    342,359x = 250,860,739,600
  5. Step 5: Solve for x
    x = 250,860,739,600/342,359
  6. Step 6: Final answer
    x = 732,741.77

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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.