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Finding the Third Proportional to 224,770 and 511,897

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Solution

The third proportional to 224,770 and 511,897 is: 1,165,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,770 : 511,897 = 511,897 : x
  2. Step 2: Convert to fraction form
    224,770/511,897 = 511,897/x
  3. Step 3: Cross multiply
    224,770x = 511,897 × 511,897
  4. Step 4: Simplify right side
    224,770x = 262,038,538,609
  5. Step 5: Solve for x
    x = 262,038,538,609/224,770
  6. Step 6: Final answer
    x = 1,165,807.44

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.