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Finding the Third Proportional to 353,938.78 and 766,926.56

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Solution

The third proportional to 353,938.78 and 766,926.56 is: 1,661,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,938.78 : 766,926.56 = 766,926.56 : x
  2. Step 2: Convert to fraction form
    353,938.78/766,926.56 = 766,926.56/x
  3. Step 3: Cross multiply
    353,938.78x = 766,926.56 × 766,926.56
  4. Step 4: Simplify right side
    353,938.78x = 588,176,352,268.07
  5. Step 5: Solve for x
    x = 588,176,352,268.07/353,938.78
  6. Step 6: Final answer
    x = 1,661,802.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.