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Finding the Third Proportional to 287,460 and 625,255

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Solution

The third proportional to 287,460 and 625,255 is: 1,359,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,460 : 625,255 = 625,255 : x
  2. Step 2: Convert to fraction form
    287,460/625,255 = 625,255/x
  3. Step 3: Cross multiply
    287,460x = 625,255 × 625,255
  4. Step 4: Simplify right side
    287,460x = 390,943,815,025
  5. Step 5: Solve for x
    x = 390,943,815,025/287,460
  6. Step 6: Final answer
    x = 1,359,993.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.