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Finding the Third Proportional to 424,250 and 594,663

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Solution

The third proportional to 424,250 and 594,663 is: 833,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,250 : 594,663 = 594,663 : x
  2. Step 2: Convert to fraction form
    424,250/594,663 = 594,663/x
  3. Step 3: Cross multiply
    424,250x = 594,663 × 594,663
  4. Step 4: Simplify right side
    424,250x = 353,624,083,569
  5. Step 5: Solve for x
    x = 353,624,083,569/424,250
  6. Step 6: Final answer
    x = 833,527.60

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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.