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Finding the Third Proportional to 579,537.28 and 851,946.19

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Solution

The third proportional to 579,537.28 and 851,946.19 is: 1,252,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,537.28 : 851,946.19 = 851,946.19 : x
  2. Step 2: Convert to fraction form
    579,537.28/851,946.19 = 851,946.19/x
  3. Step 3: Cross multiply
    579,537.28x = 851,946.19 × 851,946.19
  4. Step 4: Simplify right side
    579,537.28x = 725,812,306,395.79
  5. Step 5: Solve for x
    x = 725,812,306,395.79/579,537.28
  6. Step 6: Final answer
    x = 1,252,399.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.