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Finding the Third Proportional to 372,314 and 556,967

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Solution

The third proportional to 372,314 and 556,967 is: 833,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,314 : 556,967 = 556,967 : x
  2. Step 2: Convert to fraction form
    372,314/556,967 = 556,967/x
  3. Step 3: Cross multiply
    372,314x = 556,967 × 556,967
  4. Step 4: Simplify right side
    372,314x = 310,212,239,089
  5. Step 5: Solve for x
    x = 310,212,239,089/372,314
  6. Step 6: Final answer
    x = 833,200.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.