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Finding the Third Proportional to 224,412 and 484,489.50

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Solution

The third proportional to 224,412 and 484,489.50 is: 1,045,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,412 : 484,489.50 = 484,489.50 : x
  2. Step 2: Convert to fraction form
    224,412/484,489.50 = 484,489.50/x
  3. Step 3: Cross multiply
    224,412x = 484,489.50 × 484,489.50
  4. Step 4: Simplify right side
    224,412x = 234,730,075,610.25
  5. Step 5: Solve for x
    x = 234,730,075,610.25/224,412
  6. Step 6: Final answer
    x = 1,045,978.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.