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Finding the Third Proportional to 403,792 and 606,659

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Solution

The third proportional to 403,792 and 606,659 is: 911,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,792 : 606,659 = 606,659 : x
  2. Step 2: Convert to fraction form
    403,792/606,659 = 606,659/x
  3. Step 3: Cross multiply
    403,792x = 606,659 × 606,659
  4. Step 4: Simplify right side
    403,792x = 368,035,142,281
  5. Step 5: Solve for x
    x = 368,035,142,281/403,792
  6. Step 6: Final answer
    x = 911,447.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.