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Finding the Third Proportional to 405,013.61 and 606,367.11

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Solution

The third proportional to 405,013.61 and 606,367.11 is: 907,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,013.61 : 606,367.11 = 606,367.11 : x
  2. Step 2: Convert to fraction form
    405,013.61/606,367.11 = 606,367.11/x
  3. Step 3: Cross multiply
    405,013.61x = 606,367.11 × 606,367.11
  4. Step 4: Simplify right side
    405,013.61x = 367,681,068,963.18
  5. Step 5: Solve for x
    x = 367,681,068,963.18/405,013.61
  6. Step 6: Final answer
    x = 907,823.99

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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.