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Finding the Third Proportional to 224,076.75 and 524,926.38

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Solution

The third proportional to 224,076.75 and 524,926.38 is: 1,229,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,076.75 : 524,926.38 = 524,926.38 : x
  2. Step 2: Convert to fraction form
    224,076.75/524,926.38 = 524,926.38/x
  3. Step 3: Cross multiply
    224,076.75x = 524,926.38 × 524,926.38
  4. Step 4: Simplify right side
    224,076.75x = 275,547,699,170.64
  5. Step 5: Solve for x
    x = 275,547,699,170.64/224,076.75
  6. Step 6: Final answer
    x = 1,229,702.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.