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Finding the Third Proportional to 401,196 and 881,111.50

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Solution

The third proportional to 401,196 and 881,111.50 is: 1,935,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,196 : 881,111.50 = 881,111.50 : x
  2. Step 2: Convert to fraction form
    401,196/881,111.50 = 881,111.50/x
  3. Step 3: Cross multiply
    401,196x = 881,111.50 × 881,111.50
  4. Step 4: Simplify right side
    401,196x = 776,357,475,432.25
  5. Step 5: Solve for x
    x = 776,357,475,432.25/401,196
  6. Step 6: Final answer
    x = 1,935,107.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.