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Finding the Third Proportional to 312,566 and 484,293

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Solution

The third proportional to 312,566 and 484,293 is: 750,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,566 : 484,293 = 484,293 : x
  2. Step 2: Convert to fraction form
    312,566/484,293 = 484,293/x
  3. Step 3: Cross multiply
    312,566x = 484,293 × 484,293
  4. Step 4: Simplify right side
    312,566x = 234,539,709,849
  5. Step 5: Solve for x
    x = 234,539,709,849/312,566
  6. Step 6: Final answer
    x = 750,368.59

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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.