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Finding the Third Proportional to 467,316 and 700,182

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Solution

The third proportional to 467,316 and 700,182 is: 1,049,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,316 : 700,182 = 700,182 : x
  2. Step 2: Convert to fraction form
    467,316/700,182 = 700,182/x
  3. Step 3: Cross multiply
    467,316x = 700,182 × 700,182
  4. Step 4: Simplify right side
    467,316x = 490,254,833,124
  5. Step 5: Solve for x
    x = 490,254,833,124/467,316
  6. Step 6: Final answer
    x = 1,049,086.34

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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.