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Finding the Third Proportional to 471,269 and 705,364

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Solution

The third proportional to 471,269 and 705,364 is: 1,055,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,269 : 705,364 = 705,364 : x
  2. Step 2: Convert to fraction form
    471,269/705,364 = 705,364/x
  3. Step 3: Cross multiply
    471,269x = 705,364 × 705,364
  4. Step 4: Simplify right side
    471,269x = 497,538,372,496
  5. Step 5: Solve for x
    x = 497,538,372,496/471,269
  6. Step 6: Final answer
    x = 1,055,741.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.