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Finding the Third Proportional to 351,196 and 758,548

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Solution

The third proportional to 351,196 and 758,548 is: 1,638,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,196 : 758,548 = 758,548 : x
  2. Step 2: Convert to fraction form
    351,196/758,548 = 758,548/x
  3. Step 3: Cross multiply
    351,196x = 758,548 × 758,548
  4. Step 4: Simplify right side
    351,196x = 575,395,068,304
  5. Step 5: Solve for x
    x = 575,395,068,304/351,196
  6. Step 6: Final answer
    x = 1,638,387.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.