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Finding the Third Proportional to 237,648 and 528,426

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Solution

The third proportional to 237,648 and 528,426 is: 1,174,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,648 : 528,426 = 528,426 : x
  2. Step 2: Convert to fraction form
    237,648/528,426 = 528,426/x
  3. Step 3: Cross multiply
    237,648x = 528,426 × 528,426
  4. Step 4: Simplify right side
    237,648x = 279,234,037,476
  5. Step 5: Solve for x
    x = 279,234,037,476/237,648
  6. Step 6: Final answer
    x = 1,174,990.06

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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.