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Finding the Third Proportional to 577,338 and 1,266,211.50

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Solution

The third proportional to 577,338 and 1,266,211.50 is: 2,777,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,338 : 1,266,211.50 = 1,266,211.50 : x
  2. Step 2: Convert to fraction form
    577,338/1,266,211.50 = 1,266,211.50/x
  3. Step 3: Cross multiply
    577,338x = 1,266,211.50 × 1,266,211.50
  4. Step 4: Simplify right side
    577,338x = 1,603,291,562,732.25
  5. Step 5: Solve for x
    x = 1,603,291,562,732.25/577,338
  6. Step 6: Final answer
    x = 2,777,041.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.