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Finding the Third Proportional to 242,365.50 and 528,795

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Solution

The third proportional to 242,365.50 and 528,795 is: 1,153,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,365.50 : 528,795 = 528,795 : x
  2. Step 2: Convert to fraction form
    242,365.50/528,795 = 528,795/x
  3. Step 3: Cross multiply
    242,365.50x = 528,795 × 528,795
  4. Step 4: Simplify right side
    242,365.50x = 279,624,152,025
  5. Step 5: Solve for x
    x = 279,624,152,025/242,365.50
  6. Step 6: Final answer
    x = 1,153,729.19

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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.