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Finding the Third Proportional to 213,345 and 466,056

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Solution

The third proportional to 213,345 and 466,056 is: 1,018,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,345 : 466,056 = 466,056 : x
  2. Step 2: Convert to fraction form
    213,345/466,056 = 466,056/x
  3. Step 3: Cross multiply
    213,345x = 466,056 × 466,056
  4. Step 4: Simplify right side
    213,345x = 217,208,195,136
  5. Step 5: Solve for x
    x = 217,208,195,136/213,345
  6. Step 6: Final answer
    x = 1,018,107.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.