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Finding the Third Proportional to 272,174 and 583,696

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Solution

The third proportional to 272,174 and 583,696 is: 1,251,776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,174 : 583,696 = 583,696 : x
  2. Step 2: Convert to fraction form
    272,174/583,696 = 583,696/x
  3. Step 3: Cross multiply
    272,174x = 583,696 × 583,696
  4. Step 4: Simplify right side
    272,174x = 340,701,020,416
  5. Step 5: Solve for x
    x = 340,701,020,416/272,174
  6. Step 6: Final answer
    x = 1,251,776.51

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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.