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Finding the Third Proportional to 250,513 and 441,518

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Solution

The third proportional to 250,513 and 441,518 is: 778,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,513 : 441,518 = 441,518 : x
  2. Step 2: Convert to fraction form
    250,513/441,518 = 441,518/x
  3. Step 3: Cross multiply
    250,513x = 441,518 × 441,518
  4. Step 4: Simplify right side
    250,513x = 194,938,144,324
  5. Step 5: Solve for x
    x = 194,938,144,324/250,513
  6. Step 6: Final answer
    x = 778,155.80

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.