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Finding the Third Proportional to 224,511.75 and 480,154.50

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Solution

The third proportional to 224,511.75 and 480,154.50 is: 1,026,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,511.75 : 480,154.50 = 480,154.50 : x
  2. Step 2: Convert to fraction form
    224,511.75/480,154.50 = 480,154.50/x
  3. Step 3: Cross multiply
    224,511.75x = 480,154.50 × 480,154.50
  4. Step 4: Simplify right side
    224,511.75x = 230,548,343,870.25
  5. Step 5: Solve for x
    x = 230,548,343,870.25/224,511.75
  6. Step 6: Final answer
    x = 1,026,887.65

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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.