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Finding the Third Proportional to 448,490 and 695,151

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Solution

The third proportional to 448,490 and 695,151 is: 1,077,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,490 : 695,151 = 695,151 : x
  2. Step 2: Convert to fraction form
    448,490/695,151 = 695,151/x
  3. Step 3: Cross multiply
    448,490x = 695,151 × 695,151
  4. Step 4: Simplify right side
    448,490x = 483,234,912,801
  5. Step 5: Solve for x
    x = 483,234,912,801/448,490
  6. Step 6: Final answer
    x = 1,077,470.88

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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.