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Finding the Third Proportional to 217,335 and 466,807

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Solution

The third proportional to 217,335 and 466,807 is: 1,002,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,335 : 466,807 = 466,807 : x
  2. Step 2: Convert to fraction form
    217,335/466,807 = 466,807/x
  3. Step 3: Cross multiply
    217,335x = 466,807 × 466,807
  4. Step 4: Simplify right side
    217,335x = 217,908,775,249
  5. Step 5: Solve for x
    x = 217,908,775,249/217,335
  6. Step 6: Final answer
    x = 1,002,640.05

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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.