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Finding the Third Proportional to 554,384 and 772,396

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Solution

The third proportional to 554,384 and 772,396 is: 1,076,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,384 : 772,396 = 772,396 : x
  2. Step 2: Convert to fraction form
    554,384/772,396 = 772,396/x
  3. Step 3: Cross multiply
    554,384x = 772,396 × 772,396
  4. Step 4: Simplify right side
    554,384x = 596,595,580,816
  5. Step 5: Solve for x
    x = 596,595,580,816/554,384
  6. Step 6: Final answer
    x = 1,076,141.41

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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.