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Finding the Third Proportional to 554,344 and 772,340

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Solution

The third proportional to 554,344 and 772,340 is: 1,076,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,344 : 772,340 = 772,340 : x
  2. Step 2: Convert to fraction form
    554,344/772,340 = 772,340/x
  3. Step 3: Cross multiply
    554,344x = 772,340 × 772,340
  4. Step 4: Simplify right side
    554,344x = 596,509,075,600
  5. Step 5: Solve for x
    x = 596,509,075,600/554,344
  6. Step 6: Final answer
    x = 1,076,063.01

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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.