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Finding the Third Proportional to 214,406 and 457,284

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Solution

The third proportional to 214,406 and 457,284 is: 975,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,406 : 457,284 = 457,284 : x
  2. Step 2: Convert to fraction form
    214,406/457,284 = 457,284/x
  3. Step 3: Cross multiply
    214,406x = 457,284 × 457,284
  4. Step 4: Simplify right side
    214,406x = 209,108,656,656
  5. Step 5: Solve for x
    x = 209,108,656,656/214,406
  6. Step 6: Final answer
    x = 975,292.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.