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Finding the Third Proportional to 285,214 and 607,132

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Solution

The third proportional to 285,214 and 607,132 is: 1,292,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,214 : 607,132 = 607,132 : x
  2. Step 2: Convert to fraction form
    285,214/607,132 = 607,132/x
  3. Step 3: Cross multiply
    285,214x = 607,132 × 607,132
  4. Step 4: Simplify right side
    285,214x = 368,609,265,424
  5. Step 5: Solve for x
    x = 368,609,265,424/285,214
  6. Step 6: Final answer
    x = 1,292,395.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.