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Finding the Third Proportional to 285,852 and 625,020

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Solution

The third proportional to 285,852 and 625,020 is: 1,366,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,852 : 625,020 = 625,020 : x
  2. Step 2: Convert to fraction form
    285,852/625,020 = 625,020/x
  3. Step 3: Cross multiply
    285,852x = 625,020 × 625,020
  4. Step 4: Simplify right side
    285,852x = 390,650,000,400
  5. Step 5: Solve for x
    x = 390,650,000,400/285,852
  6. Step 6: Final answer
    x = 1,366,616.29

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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.