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Finding the Third Proportional to 467,788 and 753,358

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Solution

The third proportional to 467,788 and 753,358 is: 1,213,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,788 : 753,358 = 753,358 : x
  2. Step 2: Convert to fraction form
    467,788/753,358 = 753,358/x
  3. Step 3: Cross multiply
    467,788x = 753,358 × 753,358
  4. Step 4: Simplify right side
    467,788x = 567,548,276,164
  5. Step 5: Solve for x
    x = 567,548,276,164/467,788
  6. Step 6: Final answer
    x = 1,213,259.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.