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Finding the Third Proportional to 374,924 and 805,252

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Solution

The third proportional to 374,924 and 805,252 is: 1,729,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,924 : 805,252 = 805,252 : x
  2. Step 2: Convert to fraction form
    374,924/805,252 = 805,252/x
  3. Step 3: Cross multiply
    374,924x = 805,252 × 805,252
  4. Step 4: Simplify right side
    374,924x = 648,430,783,504
  5. Step 5: Solve for x
    x = 648,430,783,504/374,924
  6. Step 6: Final answer
    x = 1,729,499.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.