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Finding the Third Proportional to 475,293 and 691,537.50

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Solution

The third proportional to 475,293 and 691,537.50 is: 1,006,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,293 : 691,537.50 = 691,537.50 : x
  2. Step 2: Convert to fraction form
    475,293/691,537.50 = 691,537.50/x
  3. Step 3: Cross multiply
    475,293x = 691,537.50 × 691,537.50
  4. Step 4: Simplify right side
    475,293x = 478,224,113,906.25
  5. Step 5: Solve for x
    x = 478,224,113,906.25/475,293
  6. Step 6: Final answer
    x = 1,006,166.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.