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Finding the Third Proportional to 401,582.75 and 876,415.75

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Solution

The third proportional to 401,582.75 and 876,415.75 is: 1,912,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,582.75 : 876,415.75 = 876,415.75 : x
  2. Step 2: Convert to fraction form
    401,582.75/876,415.75 = 876,415.75/x
  3. Step 3: Cross multiply
    401,582.75x = 876,415.75 × 876,415.75
  4. Step 4: Simplify right side
    401,582.75x = 768,104,566,848.06
  5. Step 5: Solve for x
    x = 768,104,566,848.06/401,582.75
  6. Step 6: Final answer
    x = 1,912,693.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.