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Finding the Third Proportional to 343,776 and 515,826

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Solution

The third proportional to 343,776 and 515,826 is: 773,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,776 : 515,826 = 515,826 : x
  2. Step 2: Convert to fraction form
    343,776/515,826 = 515,826/x
  3. Step 3: Cross multiply
    343,776x = 515,826 × 515,826
  4. Step 4: Simplify right side
    343,776x = 266,076,462,276
  5. Step 5: Solve for x
    x = 266,076,462,276/343,776
  6. Step 6: Final answer
    x = 773,982.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.