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Finding the Third Proportional to 467,960 and 740,354

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Solution

The third proportional to 467,960 and 740,354 is: 1,171,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,960 : 740,354 = 740,354 : x
  2. Step 2: Convert to fraction form
    467,960/740,354 = 740,354/x
  3. Step 3: Cross multiply
    467,960x = 740,354 × 740,354
  4. Step 4: Simplify right side
    467,960x = 548,124,045,316
  5. Step 5: Solve for x
    x = 548,124,045,316/467,960
  6. Step 6: Final answer
    x = 1,171,305.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.