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Finding the Third Proportional to 372,820 and 571,758

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Solution

The third proportional to 372,820 and 571,758 is: 876,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,820 : 571,758 = 571,758 : x
  2. Step 2: Convert to fraction form
    372,820/571,758 = 571,758/x
  3. Step 3: Cross multiply
    372,820x = 571,758 × 571,758
  4. Step 4: Simplify right side
    372,820x = 326,907,210,564
  5. Step 5: Solve for x
    x = 326,907,210,564/372,820
  6. Step 6: Final answer
    x = 876,849.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.