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Finding the Third Proportional to 354,195 and 764,365.50

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Solution

The third proportional to 354,195 and 764,365.50 is: 1,649,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,195 : 764,365.50 = 764,365.50 : x
  2. Step 2: Convert to fraction form
    354,195/764,365.50 = 764,365.50/x
  3. Step 3: Cross multiply
    354,195x = 764,365.50 × 764,365.50
  4. Step 4: Simplify right side
    354,195x = 584,254,617,590.25
  5. Step 5: Solve for x
    x = 584,254,617,590.25/354,195
  6. Step 6: Final answer
    x = 1,649,528.13

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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.