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Finding the Third Proportional to 294,654 and 643,284

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Solution

The third proportional to 294,654 and 643,284 is: 1,404,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,654 : 643,284 = 643,284 : x
  2. Step 2: Convert to fraction form
    294,654/643,284 = 643,284/x
  3. Step 3: Cross multiply
    294,654x = 643,284 × 643,284
  4. Step 4: Simplify right side
    294,654x = 413,814,304,656
  5. Step 5: Solve for x
    x = 413,814,304,656/294,654
  6. Step 6: Final answer
    x = 1,404,407.56

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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.