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Finding the Third Proportional to 638,572 and 852,094

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Solution

The third proportional to 638,572 and 852,094 is: 1,137,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,572 : 852,094 = 852,094 : x
  2. Step 2: Convert to fraction form
    638,572/852,094 = 852,094/x
  3. Step 3: Cross multiply
    638,572x = 852,094 × 852,094
  4. Step 4: Simplify right side
    638,572x = 726,064,184,836
  5. Step 5: Solve for x
    x = 726,064,184,836/638,572
  6. Step 6: Final answer
    x = 1,137,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.