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Finding the Third Proportional to 758,833.88 and 1,166,397.75

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Solution

The third proportional to 758,833.88 and 1,166,397.75 is: 1,792,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,833.88 : 1,166,397.75 = 1,166,397.75 : x
  2. Step 2: Convert to fraction form
    758,833.88/1,166,397.75 = 1,166,397.75/x
  3. Step 3: Cross multiply
    758,833.88x = 1,166,397.75 × 1,166,397.75
  4. Step 4: Simplify right side
    758,833.88x = 1,360,483,711,205.06
  5. Step 5: Solve for x
    x = 1,360,483,711,205.06/758,833.88
  6. Step 6: Final answer
    x = 1,792,861.07

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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.