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Finding the Third Proportional to 562,551.75 and 893,654.44

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Solution

The third proportional to 562,551.75 and 893,654.44 is: 1,419,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,551.75 : 893,654.44 = 893,654.44 : x
  2. Step 2: Convert to fraction form
    562,551.75/893,654.44 = 893,654.44/x
  3. Step 3: Cross multiply
    562,551.75x = 893,654.44 × 893,654.44
  4. Step 4: Simplify right side
    562,551.75x = 798,618,253,663.44
  5. Step 5: Solve for x
    x = 798,618,253,663.44/562,551.75
  6. Step 6: Final answer
    x = 1,419,635.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.