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Finding the Third Proportional to 349,905 and 493,077

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Solution

The third proportional to 349,905 and 493,077 is: 694,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,905 : 493,077 = 493,077 : x
  2. Step 2: Convert to fraction form
    349,905/493,077 = 493,077/x
  3. Step 3: Cross multiply
    349,905x = 493,077 × 493,077
  4. Step 4: Simplify right side
    349,905x = 243,124,927,929
  5. Step 5: Solve for x
    x = 243,124,927,929/349,905
  6. Step 6: Final answer
    x = 694,831.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.