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Finding the Third Proportional to 529,577 and 740,797.50

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Solution

The third proportional to 529,577 and 740,797.50 is: 1,036,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,577 : 740,797.50 = 740,797.50 : x
  2. Step 2: Convert to fraction form
    529,577/740,797.50 = 740,797.50/x
  3. Step 3: Cross multiply
    529,577x = 740,797.50 × 740,797.50
  4. Step 4: Simplify right side
    529,577x = 548,780,936,006.25
  5. Step 5: Solve for x
    x = 548,780,936,006.25/529,577
  6. Step 6: Final answer
    x = 1,036,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.