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Finding the Third Proportional to 270,009.07 and 404,244.74

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Solution

The third proportional to 270,009.07 and 404,244.74 is: 605,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,009.07 : 404,244.74 = 404,244.74 : x
  2. Step 2: Convert to fraction form
    270,009.07/404,244.74 = 404,244.74/x
  3. Step 3: Cross multiply
    270,009.07x = 404,244.74 × 404,244.74
  4. Step 4: Simplify right side
    270,009.07x = 163,413,808,428.08
  5. Step 5: Solve for x
    x = 163,413,808,428.08/270,009.07
  6. Step 6: Final answer
    x = 605,216.00

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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.