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Finding the Third Proportional to 317,724 and 469,194

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Solution

The third proportional to 317,724 and 469,194 is: 692,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,724 : 469,194 = 469,194 : x
  2. Step 2: Convert to fraction form
    317,724/469,194 = 469,194/x
  3. Step 3: Cross multiply
    317,724x = 469,194 × 469,194
  4. Step 4: Simplify right side
    317,724x = 220,143,009,636
  5. Step 5: Solve for x
    x = 220,143,009,636/317,724
  6. Step 6: Final answer
    x = 692,874.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.