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Finding the Third Proportional to 437,750 and 958,541

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Solution

The third proportional to 437,750 and 958,541 is: 2,098,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,750 : 958,541 = 958,541 : x
  2. Step 2: Convert to fraction form
    437,750/958,541 = 958,541/x
  3. Step 3: Cross multiply
    437,750x = 958,541 × 958,541
  4. Step 4: Simplify right side
    437,750x = 918,800,848,681
  5. Step 5: Solve for x
    x = 918,800,848,681/437,750
  6. Step 6: Final answer
    x = 2,098,916.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.