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Finding the Third Proportional to 486,720 and 750,096

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Solution

The third proportional to 486,720 and 750,096 is: 1,155,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,720 : 750,096 = 750,096 : x
  2. Step 2: Convert to fraction form
    486,720/750,096 = 750,096/x
  3. Step 3: Cross multiply
    486,720x = 750,096 × 750,096
  4. Step 4: Simplify right side
    486,720x = 562,644,009,216
  5. Step 5: Solve for x
    x = 562,644,009,216/486,720
  6. Step 6: Final answer
    x = 1,155,991.14

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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.