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Finding the Third Proportional to 787,522.50 and 1,221,702.75

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Solution

The third proportional to 787,522.50 and 1,221,702.75 is: 1,895,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,522.50 : 1,221,702.75 = 1,221,702.75 : x
  2. Step 2: Convert to fraction form
    787,522.50/1,221,702.75 = 1,221,702.75/x
  3. Step 3: Cross multiply
    787,522.50x = 1,221,702.75 × 1,221,702.75
  4. Step 4: Simplify right side
    787,522.50x = 1,492,557,609,357.56
  5. Step 5: Solve for x
    x = 1,492,557,609,357.56/787,522.50
  6. Step 6: Final answer
    x = 1,895,257.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.