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Finding the Third Proportional to 353,701.69 and 499,995.28

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Solution

The third proportional to 353,701.69 and 499,995.28 is: 706,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,701.69 : 499,995.28 = 499,995.28 : x
  2. Step 2: Convert to fraction form
    353,701.69/499,995.28 = 499,995.28/x
  3. Step 3: Cross multiply
    353,701.69x = 499,995.28 × 499,995.28
  4. Step 4: Simplify right side
    353,701.69x = 249,995,281,272.27
  5. Step 5: Solve for x
    x = 249,995,281,272.27/353,701.69
  6. Step 6: Final answer
    x = 706,796.97

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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.