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Finding the Third Proportional to 221,069.75 and 473,657.50

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Solution

The third proportional to 221,069.75 and 473,657.50 is: 1,014,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,069.75 : 473,657.50 = 473,657.50 : x
  2. Step 2: Convert to fraction form
    221,069.75/473,657.50 = 473,657.50/x
  3. Step 3: Cross multiply
    221,069.75x = 473,657.50 × 473,657.50
  4. Step 4: Simplify right side
    221,069.75x = 224,351,427,306.25
  5. Step 5: Solve for x
    x = 224,351,427,306.25/221,069.75
  6. Step 6: Final answer
    x = 1,014,844.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.