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Finding the Third Proportional to 265,369.50 and 390,224.25

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Solution

The third proportional to 265,369.50 and 390,224.25 is: 573,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,369.50 : 390,224.25 = 390,224.25 : x
  2. Step 2: Convert to fraction form
    265,369.50/390,224.25 = 390,224.25/x
  3. Step 3: Cross multiply
    265,369.50x = 390,224.25 × 390,224.25
  4. Step 4: Simplify right side
    265,369.50x = 152,274,965,288.06
  5. Step 5: Solve for x
    x = 152,274,965,288.06/265,369.50
  6. Step 6: Final answer
    x = 573,822.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.