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Finding the Third Proportional to 210,916 and 454,088

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Solution

The third proportional to 210,916 and 454,088 is: 977,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,916 : 454,088 = 454,088 : x
  2. Step 2: Convert to fraction form
    210,916/454,088 = 454,088/x
  3. Step 3: Cross multiply
    210,916x = 454,088 × 454,088
  4. Step 4: Simplify right side
    210,916x = 206,195,911,744
  5. Step 5: Solve for x
    x = 206,195,911,744/210,916
  6. Step 6: Final answer
    x = 977,621.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.