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Finding the Third Proportional to 705,121.50 and 1,074,211.50

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Solution

The third proportional to 705,121.50 and 1,074,211.50 is: 1,636,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,121.50 : 1,074,211.50 = 1,074,211.50 : x
  2. Step 2: Convert to fraction form
    705,121.50/1,074,211.50 = 1,074,211.50/x
  3. Step 3: Cross multiply
    705,121.50x = 1,074,211.50 × 1,074,211.50
  4. Step 4: Simplify right side
    705,121.50x = 1,153,930,346,732.25
  5. Step 5: Solve for x
    x = 1,153,930,346,732.25/705,121.50
  6. Step 6: Final answer
    x = 1,636,498.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.