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Finding the Third Proportional to 401,882.63 and 859,036.50

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Solution

The third proportional to 401,882.63 and 859,036.50 is: 1,836,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,882.63 : 859,036.50 = 859,036.50 : x
  2. Step 2: Convert to fraction form
    401,882.63/859,036.50 = 859,036.50/x
  3. Step 3: Cross multiply
    401,882.63x = 859,036.50 × 859,036.50
  4. Step 4: Simplify right side
    401,882.63x = 737,943,708,332.25
  5. Step 5: Solve for x
    x = 737,943,708,332.25/401,882.63
  6. Step 6: Final answer
    x = 1,836,217.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.