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Finding the Third Proportional to 693,292.50 and 1,065,170.25

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Solution

The third proportional to 693,292.50 and 1,065,170.25 is: 1,636,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,292.50 : 1,065,170.25 = 1,065,170.25 : x
  2. Step 2: Convert to fraction form
    693,292.50/1,065,170.25 = 1,065,170.25/x
  3. Step 3: Cross multiply
    693,292.50x = 1,065,170.25 × 1,065,170.25
  4. Step 4: Simplify right side
    693,292.50x = 1,134,587,661,485.06
  5. Step 5: Solve for x
    x = 1,134,587,661,485.06/693,292.50
  6. Step 6: Final answer
    x = 1,636,520.89

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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.