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Finding the Third Proportional to 554,382 and 772,393.50

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Solution

The third proportional to 554,382 and 772,393.50 is: 1,076,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,382 : 772,393.50 = 772,393.50 : x
  2. Step 2: Convert to fraction form
    554,382/772,393.50 = 772,393.50/x
  3. Step 3: Cross multiply
    554,382x = 772,393.50 × 772,393.50
  4. Step 4: Simplify right side
    554,382x = 596,591,718,842.25
  5. Step 5: Solve for x
    x = 596,591,718,842.25/554,382
  6. Step 6: Final answer
    x = 1,076,138.33

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Why These Related Problems?

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