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Finding the Third Proportional to 212,058 and 457,336.13

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Solution

The third proportional to 212,058 and 457,336.13 is: 986,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,058 : 457,336.13 = 457,336.13 : x
  2. Step 2: Convert to fraction form
    212,058/457,336.13 = 457,336.13/x
  3. Step 3: Cross multiply
    212,058x = 457,336.13 × 457,336.13
  4. Step 4: Simplify right side
    212,058x = 209,156,331,230.02
  5. Step 5: Solve for x
    x = 209,156,331,230.02/212,058
  6. Step 6: Final answer
    x = 986,316.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.