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Finding the Third Proportional to 360,308 and 767,272

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Solution

The third proportional to 360,308 and 767,272 is: 1,633,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,308 : 767,272 = 767,272 : x
  2. Step 2: Convert to fraction form
    360,308/767,272 = 767,272/x
  3. Step 3: Cross multiply
    360,308x = 767,272 × 767,272
  4. Step 4: Simplify right side
    360,308x = 588,706,321,984
  5. Step 5: Solve for x
    x = 588,706,321,984/360,308
  6. Step 6: Final answer
    x = 1,633,897.45

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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.