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Finding the Third Proportional to 217,346 and 460,855

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Solution

The third proportional to 217,346 and 460,855 is: 977,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,346 : 460,855 = 460,855 : x
  2. Step 2: Convert to fraction form
    217,346/460,855 = 460,855/x
  3. Step 3: Cross multiply
    217,346x = 460,855 × 460,855
  4. Step 4: Simplify right side
    217,346x = 212,387,331,025
  5. Step 5: Solve for x
    x = 212,387,331,025/217,346
  6. Step 6: Final answer
    x = 977,185.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.