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Finding the Third Proportional to 213,301 and 466,778

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Solution

The third proportional to 213,301 and 466,778 is: 1,021,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,301 : 466,778 = 466,778 : x
  2. Step 2: Convert to fraction form
    213,301/466,778 = 466,778/x
  3. Step 3: Cross multiply
    213,301x = 466,778 × 466,778
  4. Step 4: Simplify right side
    213,301x = 217,881,701,284
  5. Step 5: Solve for x
    x = 217,881,701,284/213,301
  6. Step 6: Final answer
    x = 1,021,475.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.