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Finding the Third Proportional to 237,659 and 528,459

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Solution

The third proportional to 237,659 and 528,459 is: 1,175,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,659 : 528,459 = 528,459 : x
  2. Step 2: Convert to fraction form
    237,659/528,459 = 528,459/x
  3. Step 3: Cross multiply
    237,659x = 528,459 × 528,459
  4. Step 4: Simplify right side
    237,659x = 279,268,914,681
  5. Step 5: Solve for x
    x = 279,268,914,681/237,659
  6. Step 6: Final answer
    x = 1,175,082.43

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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.