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Finding the Third Proportional to 624,594 and 935,175

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Solution

The third proportional to 624,594 and 935,175 is: 1,400,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,594 : 935,175 = 935,175 : x
  2. Step 2: Convert to fraction form
    624,594/935,175 = 935,175/x
  3. Step 3: Cross multiply
    624,594x = 935,175 × 935,175
  4. Step 4: Simplify right side
    624,594x = 874,552,280,625
  5. Step 5: Solve for x
    x = 874,552,280,625/624,594
  6. Step 6: Final answer
    x = 1,400,193.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.