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Finding the Third Proportional to 294,776 and 631,612

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Solution

The third proportional to 294,776 and 631,612 is: 1,353,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,776 : 631,612 = 631,612 : x
  2. Step 2: Convert to fraction form
    294,776/631,612 = 631,612/x
  3. Step 3: Cross multiply
    294,776x = 631,612 × 631,612
  4. Step 4: Simplify right side
    294,776x = 398,933,718,544
  5. Step 5: Solve for x
    x = 398,933,718,544/294,776
  6. Step 6: Final answer
    x = 1,353,345.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.