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Finding the Third Proportional to 319,352.63 and 697,479.75

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Solution

The third proportional to 319,352.63 and 697,479.75 is: 1,523,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,352.63 : 697,479.75 = 697,479.75 : x
  2. Step 2: Convert to fraction form
    319,352.63/697,479.75 = 697,479.75/x
  3. Step 3: Cross multiply
    319,352.63x = 697,479.75 × 697,479.75
  4. Step 4: Simplify right side
    319,352.63x = 486,478,001,660.06
  5. Step 5: Solve for x
    x = 486,478,001,660.06/319,352.63
  6. Step 6: Final answer
    x = 1,523,325.51

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