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Finding the Third Proportional to 583,296 and 1,272,000

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Solution

The third proportional to 583,296 and 1,272,000 is: 2,773,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,296 : 1,272,000 = 1,272,000 : x
  2. Step 2: Convert to fraction form
    583,296/1,272,000 = 1,272,000/x
  3. Step 3: Cross multiply
    583,296x = 1,272,000 × 1,272,000
  4. Step 4: Simplify right side
    583,296x = 1,617,984,000,000
  5. Step 5: Solve for x
    x = 1,617,984,000,000/583,296
  6. Step 6: Final answer
    x = 2,773,864.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.