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Finding the Third Proportional to 286,554 and 625,596

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Solution

The third proportional to 286,554 and 625,596 is: 1,365,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,554 : 625,596 = 625,596 : x
  2. Step 2: Convert to fraction form
    286,554/625,596 = 625,596/x
  3. Step 3: Cross multiply
    286,554x = 625,596 × 625,596
  4. Step 4: Simplify right side
    286,554x = 391,370,355,216
  5. Step 5: Solve for x
    x = 391,370,355,216/286,554
  6. Step 6: Final answer
    x = 1,365,782.21

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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.