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Finding the Third Proportional to 499,341.38 and 706,556.25

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Solution

The third proportional to 499,341.38 and 706,556.25 is: 999,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,341.38 : 706,556.25 = 706,556.25 : x
  2. Step 2: Convert to fraction form
    499,341.38/706,556.25 = 706,556.25/x
  3. Step 3: Cross multiply
    499,341.38x = 706,556.25 × 706,556.25
  4. Step 4: Simplify right side
    499,341.38x = 499,221,734,414.06
  5. Step 5: Solve for x
    x = 499,221,734,414.06/499,341.38
  6. Step 6: Final answer
    x = 999,760.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.