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Finding the Third Proportional to 371,296 and 597,842

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Solution

The third proportional to 371,296 and 597,842 is: 962,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,296 : 597,842 = 597,842 : x
  2. Step 2: Convert to fraction form
    371,296/597,842 = 597,842/x
  3. Step 3: Cross multiply
    371,296x = 597,842 × 597,842
  4. Step 4: Simplify right side
    371,296x = 357,415,056,964
  5. Step 5: Solve for x
    x = 357,415,056,964/371,296
  6. Step 6: Final answer
    x = 962,614.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.