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Finding the Third Proportional to 544,034 and 816,525

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Solution

The third proportional to 544,034 and 816,525 is: 1,225,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,034 : 816,525 = 816,525 : x
  2. Step 2: Convert to fraction form
    544,034/816,525 = 816,525/x
  3. Step 3: Cross multiply
    544,034x = 816,525 × 816,525
  4. Step 4: Simplify right side
    544,034x = 666,713,075,625
  5. Step 5: Solve for x
    x = 666,713,075,625/544,034
  6. Step 6: Final answer
    x = 1,225,498.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.