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Finding the Third Proportional to 237,642 and 528,414

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Solution

The third proportional to 237,642 and 528,414 is: 1,174,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,642 : 528,414 = 528,414 : x
  2. Step 2: Convert to fraction form
    237,642/528,414 = 528,414/x
  3. Step 3: Cross multiply
    237,642x = 528,414 × 528,414
  4. Step 4: Simplify right side
    237,642x = 279,221,355,396
  5. Step 5: Solve for x
    x = 279,221,355,396/237,642
  6. Step 6: Final answer
    x = 1,174,966.36

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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.