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Finding the Third Proportional to 408,733.50 and 601,566

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Solution

The third proportional to 408,733.50 and 601,566 is: 885,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,733.50 : 601,566 = 601,566 : x
  2. Step 2: Convert to fraction form
    408,733.50/601,566 = 601,566/x
  3. Step 3: Cross multiply
    408,733.50x = 601,566 × 601,566
  4. Step 4: Simplify right side
    408,733.50x = 361,881,652,356
  5. Step 5: Solve for x
    x = 361,881,652,356/408,733.50
  6. Step 6: Final answer
    x = 885,373.12

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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.