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Finding the Third Proportional to 233,838 and 334,407

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Solution

The third proportional to 233,838 and 334,407 is: 478,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,838 : 334,407 = 334,407 : x
  2. Step 2: Convert to fraction form
    233,838/334,407 = 334,407/x
  3. Step 3: Cross multiply
    233,838x = 334,407 × 334,407
  4. Step 4: Simplify right side
    233,838x = 111,828,041,649
  5. Step 5: Solve for x
    x = 111,828,041,649/233,838
  6. Step 6: Final answer
    x = 478,228.70

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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.