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Finding the Third Proportional to 315,069 and 484,281

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Solution

The third proportional to 315,069 and 484,281 is: 744,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,069 : 484,281 = 484,281 : x
  2. Step 2: Convert to fraction form
    315,069/484,281 = 484,281/x
  3. Step 3: Cross multiply
    315,069x = 484,281 × 484,281
  4. Step 4: Simplify right side
    315,069x = 234,528,086,961
  5. Step 5: Solve for x
    x = 234,528,086,961/315,069
  6. Step 6: Final answer
    x = 744,370.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.