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Finding the Third Proportional to 371,290 and 597,831

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Solution

The third proportional to 371,290 and 597,831 is: 962,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,290 : 597,831 = 597,831 : x
  2. Step 2: Convert to fraction form
    371,290/597,831 = 597,831/x
  3. Step 3: Cross multiply
    371,290x = 597,831 × 597,831
  4. Step 4: Simplify right side
    371,290x = 357,401,904,561
  5. Step 5: Solve for x
    x = 357,401,904,561/371,290
  6. Step 6: Final answer
    x = 962,595.02

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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.