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Finding the Third Proportional to 250,551 and 387,490.50

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Solution

The third proportional to 250,551 and 387,490.50 is: 599,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,551 : 387,490.50 = 387,490.50 : x
  2. Step 2: Convert to fraction form
    250,551/387,490.50 = 387,490.50/x
  3. Step 3: Cross multiply
    250,551x = 387,490.50 × 387,490.50
  4. Step 4: Simplify right side
    250,551x = 150,148,887,590.25
  5. Step 5: Solve for x
    x = 150,148,887,590.25/250,551
  6. Step 6: Final answer
    x = 599,274.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.