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Finding the Third Proportional to 424,248 and 594,660

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Solution

The third proportional to 424,248 and 594,660 is: 833,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,248 : 594,660 = 594,660 : x
  2. Step 2: Convert to fraction form
    424,248/594,660 = 594,660/x
  3. Step 3: Cross multiply
    424,248x = 594,660 × 594,660
  4. Step 4: Simplify right side
    424,248x = 353,620,515,600
  5. Step 5: Solve for x
    x = 353,620,515,600/424,248
  6. Step 6: Final answer
    x = 833,523.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.