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Finding the Third Proportional to 316,908 and 461,058

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Solution

The third proportional to 316,908 and 461,058 is: 670,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,908 : 461,058 = 461,058 : x
  2. Step 2: Convert to fraction form
    316,908/461,058 = 461,058/x
  3. Step 3: Cross multiply
    316,908x = 461,058 × 461,058
  4. Step 4: Simplify right side
    316,908x = 212,574,479,364
  5. Step 5: Solve for x
    x = 212,574,479,364/316,908
  6. Step 6: Final answer
    x = 670,776.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.