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Finding the Third Proportional to 643,563 and 846,284.50

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Solution

The third proportional to 643,563 and 846,284.50 is: 1,112,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,563 : 846,284.50 = 846,284.50 : x
  2. Step 2: Convert to fraction form
    643,563/846,284.50 = 846,284.50/x
  3. Step 3: Cross multiply
    643,563x = 846,284.50 × 846,284.50
  4. Step 4: Simplify right side
    643,563x = 716,197,454,940.25
  5. Step 5: Solve for x
    x = 716,197,454,940.25/643,563
  6. Step 6: Final answer
    x = 1,112,863.01

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.