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Finding the Third Proportional to 486,720.50 and 750,096.75

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Solution

The third proportional to 486,720.50 and 750,096.75 is: 1,155,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,720.50 : 750,096.75 = 750,096.75 : x
  2. Step 2: Convert to fraction form
    486,720.50/750,096.75 = 750,096.75/x
  3. Step 3: Cross multiply
    486,720.50x = 750,096.75 × 750,096.75
  4. Step 4: Simplify right side
    486,720.50x = 562,645,134,360.56
  5. Step 5: Solve for x
    x = 562,645,134,360.56/486,720.50
  6. Step 6: Final answer
    x = 1,155,992.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.