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Finding the Third Proportional to 277,156 and 446,332

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Solution

The third proportional to 277,156 and 446,332 is: 718,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,156 : 446,332 = 446,332 : x
  2. Step 2: Convert to fraction form
    277,156/446,332 = 446,332/x
  3. Step 3: Cross multiply
    277,156x = 446,332 × 446,332
  4. Step 4: Simplify right side
    277,156x = 199,212,254,224
  5. Step 5: Solve for x
    x = 199,212,254,224/277,156
  6. Step 6: Final answer
    x = 718,773.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.