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Finding the Third Proportional to 233,937 and 334,541

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Solution

The third proportional to 233,937 and 334,541 is: 478,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,937 : 334,541 = 334,541 : x
  2. Step 2: Convert to fraction form
    233,937/334,541 = 334,541/x
  3. Step 3: Cross multiply
    233,937x = 334,541 × 334,541
  4. Step 4: Simplify right side
    233,937x = 111,917,680,681
  5. Step 5: Solve for x
    x = 111,917,680,681/233,937
  6. Step 6: Final answer
    x = 478,409.49

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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.