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Finding the Third Proportional to 317,530.13 and 684,915.75

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Solution

The third proportional to 317,530.13 and 684,915.75 is: 1,477,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,530.13 : 684,915.75 = 684,915.75 : x
  2. Step 2: Convert to fraction form
    317,530.13/684,915.75 = 684,915.75/x
  3. Step 3: Cross multiply
    317,530.13x = 684,915.75 × 684,915.75
  4. Step 4: Simplify right side
    317,530.13x = 469,109,584,598.06
  5. Step 5: Solve for x
    x = 469,109,584,598.06/317,530.13
  6. Step 6: Final answer
    x = 1,477,370.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.