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Finding the Third Proportional to 434,271 and 671,092

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Solution

The third proportional to 434,271 and 671,092 is: 1,037,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,271 : 671,092 = 671,092 : x
  2. Step 2: Convert to fraction form
    434,271/671,092 = 671,092/x
  3. Step 3: Cross multiply
    434,271x = 671,092 × 671,092
  4. Step 4: Simplify right side
    434,271x = 450,364,472,464
  5. Step 5: Solve for x
    x = 450,364,472,464/434,271
  6. Step 6: Final answer
    x = 1,037,058.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.