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Finding the Third Proportional to 353,929.50 and 764,402.06

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Solution

The third proportional to 353,929.50 and 764,402.06 is: 1,650,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,929.50 : 764,402.06 = 764,402.06 : x
  2. Step 2: Convert to fraction form
    353,929.50/764,402.06 = 764,402.06/x
  3. Step 3: Cross multiply
    353,929.50x = 764,402.06 × 764,402.06
  4. Step 4: Simplify right side
    353,929.50x = 584,310,513,154.25
  5. Step 5: Solve for x
    x = 584,310,513,154.25/353,929.50
  6. Step 6: Final answer
    x = 1,650,923.46

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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.