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Finding the Third Proportional to 401,618.25 and 869,362.88

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Solution

The third proportional to 401,618.25 and 869,362.88 is: 1,881,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,618.25 : 869,362.88 = 869,362.88 : x
  2. Step 2: Convert to fraction form
    401,618.25/869,362.88 = 869,362.88/x
  3. Step 3: Cross multiply
    401,618.25x = 869,362.88 × 869,362.88
  4. Step 4: Simplify right side
    401,618.25x = 755,791,808,428.27
  5. Step 5: Solve for x
    x = 755,791,808,428.27/401,618.25
  6. Step 6: Final answer
    x = 1,881,866.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.