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Finding the Third Proportional to 372,816 and 592,920

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Solution

The third proportional to 372,816 and 592,920 is: 942,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,816 : 592,920 = 592,920 : x
  2. Step 2: Convert to fraction form
    372,816/592,920 = 592,920/x
  3. Step 3: Cross multiply
    372,816x = 592,920 × 592,920
  4. Step 4: Simplify right side
    372,816x = 351,554,126,400
  5. Step 5: Solve for x
    x = 351,554,126,400/372,816
  6. Step 6: Final answer
    x = 942,969.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.