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Finding the Third Proportional to 342,430 and 737,564

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Solution

The third proportional to 342,430 and 737,564 is: 1,588,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,430 : 737,564 = 737,564 : x
  2. Step 2: Convert to fraction form
    342,430/737,564 = 737,564/x
  3. Step 3: Cross multiply
    342,430x = 737,564 × 737,564
  4. Step 4: Simplify right side
    342,430x = 544,000,654,096
  5. Step 5: Solve for x
    x = 544,000,654,096/342,430
  6. Step 6: Final answer
    x = 1,588,647.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.