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Finding the Third Proportional to 284,897 and 607,930

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Solution

The third proportional to 284,897 and 607,930 is: 1,297,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,897 : 607,930 = 607,930 : x
  2. Step 2: Convert to fraction form
    284,897/607,930 = 607,930/x
  3. Step 3: Cross multiply
    284,897x = 607,930 × 607,930
  4. Step 4: Simplify right side
    284,897x = 369,578,884,900
  5. Step 5: Solve for x
    x = 369,578,884,900/284,897
  6. Step 6: Final answer
    x = 1,297,236.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.