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Finding the Third Proportional to 263,541 and 564,258

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Solution

The third proportional to 263,541 and 564,258 is: 1,208,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,541 : 564,258 = 564,258 : x
  2. Step 2: Convert to fraction form
    263,541/564,258 = 564,258/x
  3. Step 3: Cross multiply
    263,541x = 564,258 × 564,258
  4. Step 4: Simplify right side
    263,541x = 318,387,090,564
  5. Step 5: Solve for x
    x = 318,387,090,564/263,541
  6. Step 6: Final answer
    x = 1,208,112.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.