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Finding the Third Proportional to 593,920 and 956,249.50

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Solution

The third proportional to 593,920 and 956,249.50 is: 1,539,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,920 : 956,249.50 = 956,249.50 : x
  2. Step 2: Convert to fraction form
    593,920/956,249.50 = 956,249.50/x
  3. Step 3: Cross multiply
    593,920x = 956,249.50 × 956,249.50
  4. Step 4: Simplify right side
    593,920x = 914,413,106,250.25
  5. Step 5: Solve for x
    x = 914,413,106,250.25/593,920
  6. Step 6: Final answer
    x = 1,539,623.36

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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.