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Finding the Third Proportional to 718,196.25 and 1,085,860.50

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Solution

The third proportional to 718,196.25 and 1,085,860.50 is: 1,641,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,196.25 : 1,085,860.50 = 1,085,860.50 : x
  2. Step 2: Convert to fraction form
    718,196.25/1,085,860.50 = 1,085,860.50/x
  3. Step 3: Cross multiply
    718,196.25x = 1,085,860.50 × 1,085,860.50
  4. Step 4: Simplify right side
    718,196.25x = 1,179,093,025,460.25
  5. Step 5: Solve for x
    x = 1,179,093,025,460.25/718,196.25
  6. Step 6: Final answer
    x = 1,641,742.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.