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Finding the Third Proportional to 281,587 and 603,239

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Solution

The third proportional to 281,587 and 603,239 is: 1,292,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,587 : 603,239 = 603,239 : x
  2. Step 2: Convert to fraction form
    281,587/603,239 = 603,239/x
  3. Step 3: Cross multiply
    281,587x = 603,239 × 603,239
  4. Step 4: Simplify right side
    281,587x = 363,897,291,121
  5. Step 5: Solve for x
    x = 363,897,291,121/281,587
  6. Step 6: Final answer
    x = 1,292,308.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.