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Finding the Third Proportional to 505,482 and 760,275

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Solution

The third proportional to 505,482 and 760,275 is: 1,143,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,482 : 760,275 = 760,275 : x
  2. Step 2: Convert to fraction form
    505,482/760,275 = 760,275/x
  3. Step 3: Cross multiply
    505,482x = 760,275 × 760,275
  4. Step 4: Simplify right side
    505,482x = 578,018,075,625
  5. Step 5: Solve for x
    x = 578,018,075,625/505,482
  6. Step 6: Final answer
    x = 1,143,498.83

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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.