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Finding the Third Proportional to 237,657 and 528,450

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Solution

The third proportional to 237,657 and 528,450 is: 1,175,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,657 : 528,450 = 528,450 : x
  2. Step 2: Convert to fraction form
    237,657/528,450 = 528,450/x
  3. Step 3: Cross multiply
    237,657x = 528,450 × 528,450
  4. Step 4: Simplify right side
    237,657x = 279,259,402,500
  5. Step 5: Solve for x
    x = 279,259,402,500/237,657
  6. Step 6: Final answer
    x = 1,175,052.29

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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.