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Finding the Third Proportional to 519,506 and 779,277

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Solution

The third proportional to 519,506 and 779,277 is: 1,168,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,506 : 779,277 = 779,277 : x
  2. Step 2: Convert to fraction form
    519,506/779,277 = 779,277/x
  3. Step 3: Cross multiply
    519,506x = 779,277 × 779,277
  4. Step 4: Simplify right side
    519,506x = 607,272,642,729
  5. Step 5: Solve for x
    x = 607,272,642,729/519,506
  6. Step 6: Final answer
    x = 1,168,942.50

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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.