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Finding the Third Proportional to 337,842 and 734,488.50

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Solution

The third proportional to 337,842 and 734,488.50 is: 1,596,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,842 : 734,488.50 = 734,488.50 : x
  2. Step 2: Convert to fraction form
    337,842/734,488.50 = 734,488.50/x
  3. Step 3: Cross multiply
    337,842x = 734,488.50 × 734,488.50
  4. Step 4: Simplify right side
    337,842x = 539,473,356,632.25
  5. Step 5: Solve for x
    x = 539,473,356,632.25/337,842
  6. Step 6: Final answer
    x = 1,596,821.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.