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Finding the Third Proportional to 374,322 and 575,943

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Solution

The third proportional to 374,322 and 575,943 is: 886,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,322 : 575,943 = 575,943 : x
  2. Step 2: Convert to fraction form
    374,322/575,943 = 575,943/x
  3. Step 3: Cross multiply
    374,322x = 575,943 × 575,943
  4. Step 4: Simplify right side
    374,322x = 331,710,339,249
  5. Step 5: Solve for x
    x = 331,710,339,249/374,322
  6. Step 6: Final answer
    x = 886,163.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.