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Finding the Third Proportional to 513,106.50 and 804,907.88

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Solution

The third proportional to 513,106.50 and 804,907.88 is: 1,262,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,106.50 : 804,907.88 = 804,907.88 : x
  2. Step 2: Convert to fraction form
    513,106.50/804,907.88 = 804,907.88/x
  3. Step 3: Cross multiply
    513,106.50x = 804,907.88 × 804,907.88
  4. Step 4: Simplify right side
    513,106.50x = 647,876,687,237.02
  5. Step 5: Solve for x
    x = 647,876,687,237.02/513,106.50
  6. Step 6: Final answer
    x = 1,262,655.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.