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Finding the Third Proportional to 337,527 and 773,833.50

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Solution

The third proportional to 337,527 and 773,833.50 is: 1,774,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,527 : 773,833.50 = 773,833.50 : x
  2. Step 2: Convert to fraction form
    337,527/773,833.50 = 773,833.50/x
  3. Step 3: Cross multiply
    337,527x = 773,833.50 × 773,833.50
  4. Step 4: Simplify right side
    337,527x = 598,818,285,722.25
  5. Step 5: Solve for x
    x = 598,818,285,722.25/337,527
  6. Step 6: Final answer
    x = 1,774,134.47

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.