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Finding the Third Proportional to 315,656 and 468,684

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Solution

The third proportional to 315,656 and 468,684 is: 695,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,656 : 468,684 = 468,684 : x
  2. Step 2: Convert to fraction form
    315,656/468,684 = 468,684/x
  3. Step 3: Cross multiply
    315,656x = 468,684 × 468,684
  4. Step 4: Simplify right side
    315,656x = 219,664,691,856
  5. Step 5: Solve for x
    x = 219,664,691,856/315,656
  6. Step 6: Final answer
    x = 695,898.99

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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.