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Finding the Third Proportional to 285,858 and 625,032

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Solution

The third proportional to 285,858 and 625,032 is: 1,366,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,858 : 625,032 = 625,032 : x
  2. Step 2: Convert to fraction form
    285,858/625,032 = 625,032/x
  3. Step 3: Cross multiply
    285,858x = 625,032 × 625,032
  4. Step 4: Simplify right side
    285,858x = 390,665,001,024
  5. Step 5: Solve for x
    x = 390,665,001,024/285,858
  6. Step 6: Final answer
    x = 1,366,640.08

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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.