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Finding the Third Proportional to 543,952 and 764,646

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Solution

The third proportional to 543,952 and 764,646 is: 1,074,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,952 : 764,646 = 764,646 : x
  2. Step 2: Convert to fraction form
    543,952/764,646 = 764,646/x
  3. Step 3: Cross multiply
    543,952x = 764,646 × 764,646
  4. Step 4: Simplify right side
    543,952x = 584,683,505,316
  5. Step 5: Solve for x
    x = 584,683,505,316/543,952
  6. Step 6: Final answer
    x = 1,074,880.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.