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Finding the Third Proportional to 374,530 and 586,897

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Solution

The third proportional to 374,530 and 586,897 is: 919,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,530 : 586,897 = 586,897 : x
  2. Step 2: Convert to fraction form
    374,530/586,897 = 586,897/x
  3. Step 3: Cross multiply
    374,530x = 586,897 × 586,897
  4. Step 4: Simplify right side
    374,530x = 344,448,088,609
  5. Step 5: Solve for x
    x = 344,448,088,609/374,530
  6. Step 6: Final answer
    x = 919,680.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.