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Finding the Third Proportional to 554,344.50 and 772,341

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Solution

The third proportional to 554,344.50 and 772,341 is: 1,076,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,344.50 : 772,341 = 772,341 : x
  2. Step 2: Convert to fraction form
    554,344.50/772,341 = 772,341/x
  3. Step 3: Cross multiply
    554,344.50x = 772,341 × 772,341
  4. Step 4: Simplify right side
    554,344.50x = 596,510,620,281
  5. Step 5: Solve for x
    x = 596,510,620,281/554,344.50
  6. Step 6: Final answer
    x = 1,076,064.83

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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.