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Finding the Third Proportional to 312,644 and 484,410

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Solution

The third proportional to 312,644 and 484,410 is: 750,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,644 : 484,410 = 484,410 : x
  2. Step 2: Convert to fraction form
    312,644/484,410 = 484,410/x
  3. Step 3: Cross multiply
    312,644x = 484,410 × 484,410
  4. Step 4: Simplify right side
    312,644x = 234,653,048,100
  5. Step 5: Solve for x
    x = 234,653,048,100/312,644
  6. Step 6: Final answer
    x = 750,543.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.