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Finding the Third Proportional to 285,842 and 625,000

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Solution

The third proportional to 285,842 and 625,000 is: 1,366,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,842 : 625,000 = 625,000 : x
  2. Step 2: Convert to fraction form
    285,842/625,000 = 625,000/x
  3. Step 3: Cross multiply
    285,842x = 625,000 × 625,000
  4. Step 4: Simplify right side
    285,842x = 390,625,000,000
  5. Step 5: Solve for x
    x = 390,625,000,000/285,842
  6. Step 6: Final answer
    x = 1,366,576.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.