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Finding the Third Proportional to 399,516 and 858,322.50

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Solution

The third proportional to 399,516 and 858,322.50 is: 1,844,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,516 : 858,322.50 = 858,322.50 : x
  2. Step 2: Convert to fraction form
    399,516/858,322.50 = 858,322.50/x
  3. Step 3: Cross multiply
    399,516x = 858,322.50 × 858,322.50
  4. Step 4: Simplify right side
    399,516x = 736,717,514,006.25
  5. Step 5: Solve for x
    x = 736,717,514,006.25/399,516
  6. Step 6: Final answer
    x = 1,844,025.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.