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Finding the Third Proportional to 237,312 and 521,292

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Solution

The third proportional to 237,312 and 521,292 is: 1,145,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,312 : 521,292 = 521,292 : x
  2. Step 2: Convert to fraction form
    237,312/521,292 = 521,292/x
  3. Step 3: Cross multiply
    237,312x = 521,292 × 521,292
  4. Step 4: Simplify right side
    237,312x = 271,745,349,264
  5. Step 5: Solve for x
    x = 271,745,349,264/237,312
  6. Step 6: Final answer
    x = 1,145,097.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.