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Finding the Third Proportional to 341,526 and 493,407

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Solution

The third proportional to 341,526 and 493,407 is: 712,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,526 : 493,407 = 493,407 : x
  2. Step 2: Convert to fraction form
    341,526/493,407 = 493,407/x
  3. Step 3: Cross multiply
    341,526x = 493,407 × 493,407
  4. Step 4: Simplify right side
    341,526x = 243,450,467,649
  5. Step 5: Solve for x
    x = 243,450,467,649/341,526
  6. Step 6: Final answer
    x = 712,831.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.