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Finding the Third Proportional to 243,644.63 and 374,976

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Solution

The third proportional to 243,644.63 and 374,976 is: 577,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,644.63 : 374,976 = 374,976 : x
  2. Step 2: Convert to fraction form
    243,644.63/374,976 = 374,976/x
  3. Step 3: Cross multiply
    243,644.63x = 374,976 × 374,976
  4. Step 4: Simplify right side
    243,644.63x = 140,607,000,576
  5. Step 5: Solve for x
    x = 140,607,000,576/243,644.63
  6. Step 6: Final answer
    x = 577,098.72

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