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Finding the Third Proportional to 408,336 and 598,656

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Solution

The third proportional to 408,336 and 598,656 is: 877,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,336 : 598,656 = 598,656 : x
  2. Step 2: Convert to fraction form
    408,336/598,656 = 598,656/x
  3. Step 3: Cross multiply
    408,336x = 598,656 × 598,656
  4. Step 4: Simplify right side
    408,336x = 358,389,006,336
  5. Step 5: Solve for x
    x = 358,389,006,336/408,336
  6. Step 6: Final answer
    x = 877,681.63

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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.