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Finding the Third Proportional to 434,996 and 958,292

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Solution

The third proportional to 434,996 and 958,292 is: 2,111,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,996 : 958,292 = 958,292 : x
  2. Step 2: Convert to fraction form
    434,996/958,292 = 958,292/x
  3. Step 3: Cross multiply
    434,996x = 958,292 × 958,292
  4. Step 4: Simplify right side
    434,996x = 918,323,557,264
  5. Step 5: Solve for x
    x = 918,323,557,264/434,996
  6. Step 6: Final answer
    x = 2,111,108.05

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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.