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Finding the Third Proportional to 466,107.75 and 719,767.69

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Solution

The third proportional to 466,107.75 and 719,767.69 is: 1,111,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,107.75 : 719,767.69 = 719,767.69 : x
  2. Step 2: Convert to fraction form
    466,107.75/719,767.69 = 719,767.69/x
  3. Step 3: Cross multiply
    466,107.75x = 719,767.69 × 719,767.69
  4. Step 4: Simplify right side
    466,107.75x = 518,065,523,969.10
  5. Step 5: Solve for x
    x = 518,065,523,969.10/466,107.75
  6. Step 6: Final answer
    x = 1,111,471.59

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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.