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Finding the Third Proportional to 224,653.50 and 480,897

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Solution

The third proportional to 224,653.50 and 480,897 is: 1,029,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,653.50 : 480,897 = 480,897 : x
  2. Step 2: Convert to fraction form
    224,653.50/480,897 = 480,897/x
  3. Step 3: Cross multiply
    224,653.50x = 480,897 × 480,897
  4. Step 4: Simplify right side
    224,653.50x = 231,261,924,609
  5. Step 5: Solve for x
    x = 231,261,924,609/224,653.50
  6. Step 6: Final answer
    x = 1,029,416.08

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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.