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Finding the Third Proportional to 467,308 and 700,180

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Solution

The third proportional to 467,308 and 700,180 is: 1,049,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,308 : 700,180 = 700,180 : x
  2. Step 2: Convert to fraction form
    467,308/700,180 = 700,180/x
  3. Step 3: Cross multiply
    467,308x = 700,180 × 700,180
  4. Step 4: Simplify right side
    467,308x = 490,252,032,400
  5. Step 5: Solve for x
    x = 490,252,032,400/467,308
  6. Step 6: Final answer
    x = 1,049,098.31

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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.