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Finding the Third Proportional to 246,429 and 370,737

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Solution

The third proportional to 246,429 and 370,737 is: 557,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,429 : 370,737 = 370,737 : x
  2. Step 2: Convert to fraction form
    246,429/370,737 = 370,737/x
  3. Step 3: Cross multiply
    246,429x = 370,737 × 370,737
  4. Step 4: Simplify right side
    246,429x = 137,445,923,169
  5. Step 5: Solve for x
    x = 137,445,923,169/246,429
  6. Step 6: Final answer
    x = 557,750.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.