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Finding the Third Proportional to 467,412 and 700,326

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Solution

The third proportional to 467,412 and 700,326 is: 1,049,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,412 : 700,326 = 700,326 : x
  2. Step 2: Convert to fraction form
    467,412/700,326 = 700,326/x
  3. Step 3: Cross multiply
    467,412x = 700,326 × 700,326
  4. Step 4: Simplify right side
    467,412x = 490,456,506,276
  5. Step 5: Solve for x
    x = 490,456,506,276/467,412
  6. Step 6: Final answer
    x = 1,049,302.34

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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.