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Finding the Third Proportional to 233,967 and 334,585

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Solution

The third proportional to 233,967 and 334,585 is: 478,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,967 : 334,585 = 334,585 : x
  2. Step 2: Convert to fraction form
    233,967/334,585 = 334,585/x
  3. Step 3: Cross multiply
    233,967x = 334,585 × 334,585
  4. Step 4: Simplify right side
    233,967x = 111,947,122,225
  5. Step 5: Solve for x
    x = 111,947,122,225/233,967
  6. Step 6: Final answer
    x = 478,473.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.