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Finding the Third Proportional to 374,297.63 and 529,610.06

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Solution

The third proportional to 374,297.63 and 529,610.06 is: 749,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,297.63 : 529,610.06 = 529,610.06 : x
  2. Step 2: Convert to fraction form
    374,297.63/529,610.06 = 529,610.06/x
  3. Step 3: Cross multiply
    374,297.63x = 529,610.06 × 529,610.06
  4. Step 4: Simplify right side
    374,297.63x = 280,486,818,301.25
  5. Step 5: Solve for x
    x = 280,486,818,301.25/374,297.63
  6. Step 6: Final answer
    x = 749,368.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.