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Finding the Third Proportional to 353,362.50 and 766,948.50

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Solution

The third proportional to 353,362.50 and 766,948.50 is: 1,664,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,362.50 : 766,948.50 = 766,948.50 : x
  2. Step 2: Convert to fraction form
    353,362.50/766,948.50 = 766,948.50/x
  3. Step 3: Cross multiply
    353,362.50x = 766,948.50 × 766,948.50
  4. Step 4: Simplify right side
    353,362.50x = 588,210,001,652.25
  5. Step 5: Solve for x
    x = 588,210,001,652.25/353,362.50
  6. Step 6: Final answer
    x = 1,664,607.88

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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.