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Finding the Third Proportional to 285,957.84 and 616,225.22

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Solution

The third proportional to 285,957.84 and 616,225.22 is: 1,327,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,957.84 : 616,225.22 = 616,225.22 : x
  2. Step 2: Convert to fraction form
    285,957.84/616,225.22 = 616,225.22/x
  3. Step 3: Cross multiply
    285,957.84x = 616,225.22 × 616,225.22
  4. Step 4: Simplify right side
    285,957.84x = 379,733,520,223.49
  5. Step 5: Solve for x
    x = 379,733,520,223.49/285,957.84
  6. Step 6: Final answer
    x = 1,327,935.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.