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Finding the Third Proportional to 286,461 and 625,410

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Solution

The third proportional to 286,461 and 625,410 is: 1,365,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,461 : 625,410 = 625,410 : x
  2. Step 2: Convert to fraction form
    286,461/625,410 = 625,410/x
  3. Step 3: Cross multiply
    286,461x = 625,410 × 625,410
  4. Step 4: Simplify right side
    286,461x = 391,137,668,100
  5. Step 5: Solve for x
    x = 391,137,668,100/286,461
  6. Step 6: Final answer
    x = 1,365,413.33

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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.