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Finding the Third Proportional to 314,354.25 and 497,984.63

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Solution

The third proportional to 314,354.25 and 497,984.63 is: 788,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,354.25 : 497,984.63 = 497,984.63 : x
  2. Step 2: Convert to fraction form
    314,354.25/497,984.63 = 497,984.63/x
  3. Step 3: Cross multiply
    314,354.25x = 497,984.63 × 497,984.63
  4. Step 4: Simplify right side
    314,354.25x = 247,988,686,736.39
  5. Step 5: Solve for x
    x = 247,988,686,736.39/314,354.25
  6. Step 6: Final answer
    x = 788,882.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.