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Finding the Third Proportional to 563,860.50 and 814,680.50

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Solution

The third proportional to 563,860.50 and 814,680.50 is: 1,177,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,860.50 : 814,680.50 = 814,680.50 : x
  2. Step 2: Convert to fraction form
    563,860.50/814,680.50 = 814,680.50/x
  3. Step 3: Cross multiply
    563,860.50x = 814,680.50 × 814,680.50
  4. Step 4: Simplify right side
    563,860.50x = 663,704,317,080.25
  5. Step 5: Solve for x
    x = 663,704,317,080.25/563,860.50
  6. Step 6: Final answer
    x = 1,177,071.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.