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Finding the Third Proportional to 212,023 and 460,855

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Solution

The third proportional to 212,023 and 460,855 is: 1,001,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,023 : 460,855 = 460,855 : x
  2. Step 2: Convert to fraction form
    212,023/460,855 = 460,855/x
  3. Step 3: Cross multiply
    212,023x = 460,855 × 460,855
  4. Step 4: Simplify right side
    212,023x = 212,387,331,025
  5. Step 5: Solve for x
    x = 212,387,331,025/212,023
  6. Step 6: Final answer
    x = 1,001,718.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.