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Finding the Third Proportional to 315,244 and 484,534

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Solution

The third proportional to 315,244 and 484,534 is: 744,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,244 : 484,534 = 484,534 : x
  2. Step 2: Convert to fraction form
    315,244/484,534 = 484,534/x
  3. Step 3: Cross multiply
    315,244x = 484,534 × 484,534
  4. Step 4: Simplify right side
    315,244x = 234,773,197,156
  5. Step 5: Solve for x
    x = 234,773,197,156/315,244
  6. Step 6: Final answer
    x = 744,734.86

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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.