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Finding the Third Proportional to 554,384.50 and 772,397.25

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Solution

The third proportional to 554,384.50 and 772,397.25 is: 1,076,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,384.50 : 772,397.25 = 772,397.25 : x
  2. Step 2: Convert to fraction form
    554,384.50/772,397.25 = 772,397.25/x
  3. Step 3: Cross multiply
    554,384.50x = 772,397.25 × 772,397.25
  4. Step 4: Simplify right side
    554,384.50x = 596,597,511,807.56
  5. Step 5: Solve for x
    x = 596,597,511,807.56/554,384.50
  6. Step 6: Final answer
    x = 1,076,143.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.