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Finding the Third Proportional to 285,180 and 607,068

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Solution

The third proportional to 285,180 and 607,068 is: 1,292,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,180 : 607,068 = 607,068 : x
  2. Step 2: Convert to fraction form
    285,180/607,068 = 607,068/x
  3. Step 3: Cross multiply
    285,180x = 607,068 × 607,068
  4. Step 4: Simplify right side
    285,180x = 368,531,556,624
  5. Step 5: Solve for x
    x = 368,531,556,624/285,180
  6. Step 6: Final answer
    x = 1,292,277.01

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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.