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Finding the Third Proportional to 314,565 and 684,424

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Solution

The third proportional to 314,565 and 684,424 is: 1,489,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,565 : 684,424 = 684,424 : x
  2. Step 2: Convert to fraction form
    314,565/684,424 = 684,424/x
  3. Step 3: Cross multiply
    314,565x = 684,424 × 684,424
  4. Step 4: Simplify right side
    314,565x = 468,436,211,776
  5. Step 5: Solve for x
    x = 468,436,211,776/314,565
  6. Step 6: Final answer
    x = 1,489,155.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.