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Finding the Third Proportional to 372,816 and 571,752

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Solution

The third proportional to 372,816 and 571,752 is: 876,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,816 : 571,752 = 571,752 : x
  2. Step 2: Convert to fraction form
    372,816/571,752 = 571,752/x
  3. Step 3: Cross multiply
    372,816x = 571,752 × 571,752
  4. Step 4: Simplify right side
    372,816x = 326,900,349,504
  5. Step 5: Solve for x
    x = 326,900,349,504/372,816
  6. Step 6: Final answer
    x = 876,840.99

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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.