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Finding the Third Proportional to 623,936 and 958,441

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Solution

The third proportional to 623,936 and 958,441 is: 1,472,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,936 : 958,441 = 958,441 : x
  2. Step 2: Convert to fraction form
    623,936/958,441 = 958,441/x
  3. Step 3: Cross multiply
    623,936x = 958,441 × 958,441
  4. Step 4: Simplify right side
    623,936x = 918,609,150,481
  5. Step 5: Solve for x
    x = 918,609,150,481/623,936
  6. Step 6: Final answer
    x = 1,472,281.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.