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Finding the Third Proportional to 321,958 and 473,058

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Solution

The third proportional to 321,958 and 473,058 is: 695,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,958 : 473,058 = 473,058 : x
  2. Step 2: Convert to fraction form
    321,958/473,058 = 473,058/x
  3. Step 3: Cross multiply
    321,958x = 473,058 × 473,058
  4. Step 4: Simplify right side
    321,958x = 223,783,871,364
  5. Step 5: Solve for x
    x = 223,783,871,364/321,958
  6. Step 6: Final answer
    x = 695,071.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.