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Finding the Third Proportional to 407,350 and 608,292

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Solution

The third proportional to 407,350 and 608,292 is: 908,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,350 : 608,292 = 608,292 : x
  2. Step 2: Convert to fraction form
    407,350/608,292 = 608,292/x
  3. Step 3: Cross multiply
    407,350x = 608,292 × 608,292
  4. Step 4: Simplify right side
    407,350x = 370,019,157,264
  5. Step 5: Solve for x
    x = 370,019,157,264/407,350
  6. Step 6: Final answer
    x = 908,356.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.