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Finding the Third Proportional to 424,062 and 594,319

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Solution

The third proportional to 424,062 and 594,319 is: 832,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,062 : 594,319 = 594,319 : x
  2. Step 2: Convert to fraction form
    424,062/594,319 = 594,319/x
  3. Step 3: Cross multiply
    424,062x = 594,319 × 594,319
  4. Step 4: Simplify right side
    424,062x = 353,215,073,761
  5. Step 5: Solve for x
    x = 353,215,073,761/424,062
  6. Step 6: Final answer
    x = 832,932.62

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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.