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Finding the Third Proportional to 372,818 and 592,923

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Solution

The third proportional to 372,818 and 592,923 is: 942,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,818 : 592,923 = 592,923 : x
  2. Step 2: Convert to fraction form
    372,818/592,923 = 592,923/x
  3. Step 3: Cross multiply
    372,818x = 592,923 × 592,923
  4. Step 4: Simplify right side
    372,818x = 351,557,683,929
  5. Step 5: Solve for x
    x = 351,557,683,929/372,818
  6. Step 6: Final answer
    x = 942,974.01

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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.