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Finding the Third Proportional to 437,467 and 625,575.50

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Solution

The third proportional to 437,467 and 625,575.50 is: 894,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,467 : 625,575.50 = 625,575.50 : x
  2. Step 2: Convert to fraction form
    437,467/625,575.50 = 625,575.50/x
  3. Step 3: Cross multiply
    437,467x = 625,575.50 × 625,575.50
  4. Step 4: Simplify right side
    437,467x = 391,344,706,200.25
  5. Step 5: Solve for x
    x = 391,344,706,200.25/437,467
  6. Step 6: Final answer
    x = 894,569.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.