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Finding the Third Proportional to 399,312 and 872,313.75

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Solution

The third proportional to 399,312 and 872,313.75 is: 1,905,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,312 : 872,313.75 = 872,313.75 : x
  2. Step 2: Convert to fraction form
    399,312/872,313.75 = 872,313.75/x
  3. Step 3: Cross multiply
    399,312x = 872,313.75 × 872,313.75
  4. Step 4: Simplify right side
    399,312x = 760,931,278,439.06
  5. Step 5: Solve for x
    x = 760,931,278,439.06/399,312
  6. Step 6: Final answer
    x = 1,905,605.84

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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.