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Finding the Third Proportional to 404,577.91 and 607,904.84

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Solution

The third proportional to 404,577.91 and 607,904.84 is: 913,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,577.91 : 607,904.84 = 607,904.84 : x
  2. Step 2: Convert to fraction form
    404,577.91/607,904.84 = 607,904.84/x
  3. Step 3: Cross multiply
    404,577.91x = 607,904.84 × 607,904.84
  4. Step 4: Simplify right side
    404,577.91x = 369,548,296,680.09
  5. Step 5: Solve for x
    x = 369,548,296,680.09/404,577.91
  6. Step 6: Final answer
    x = 913,416.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.