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Finding the Third Proportional to 237,645.75 and 528,424.50

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Solution

The third proportional to 237,645.75 and 528,424.50 is: 1,174,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,645.75 : 528,424.50 = 528,424.50 : x
  2. Step 2: Convert to fraction form
    237,645.75/528,424.50 = 528,424.50/x
  3. Step 3: Cross multiply
    237,645.75x = 528,424.50 × 528,424.50
  4. Step 4: Simplify right side
    237,645.75x = 279,232,452,200.25
  5. Step 5: Solve for x
    x = 279,232,452,200.25/237,645.75
  6. Step 6: Final answer
    x = 1,174,994.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.