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Finding the Third Proportional to 285,212 and 607,128

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Solution

The third proportional to 285,212 and 607,128 is: 1,292,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,212 : 607,128 = 607,128 : x
  2. Step 2: Convert to fraction form
    285,212/607,128 = 607,128/x
  3. Step 3: Cross multiply
    285,212x = 607,128 × 607,128
  4. Step 4: Simplify right side
    285,212x = 368,604,408,384
  5. Step 5: Solve for x
    x = 368,604,408,384/285,212
  6. Step 6: Final answer
    x = 1,292,387.45

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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.