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Finding the Third Proportional to 237,930 and 528,348

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Solution

The third proportional to 237,930 and 528,348 is: 1,173,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,930 : 528,348 = 528,348 : x
  2. Step 2: Convert to fraction form
    237,930/528,348 = 528,348/x
  3. Step 3: Cross multiply
    237,930x = 528,348 × 528,348
  4. Step 4: Simplify right side
    237,930x = 279,151,609,104
  5. Step 5: Solve for x
    x = 279,151,609,104/237,930
  6. Step 6: Final answer
    x = 1,173,250.99

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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.