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Finding the Third Proportional to 408,292 and 600,342

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Solution

The third proportional to 408,292 and 600,342 is: 882,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,292 : 600,342 = 600,342 : x
  2. Step 2: Convert to fraction form
    408,292/600,342 = 600,342/x
  3. Step 3: Cross multiply
    408,292x = 600,342 × 600,342
  4. Step 4: Simplify right side
    408,292x = 360,410,516,964
  5. Step 5: Solve for x
    x = 360,410,516,964/408,292
  6. Step 6: Final answer
    x = 882,727.35

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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.