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Finding the Third Proportional to 336,447 and 719,550

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Solution

The third proportional to 336,447 and 719,550 is: 1,538,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,447 : 719,550 = 719,550 : x
  2. Step 2: Convert to fraction form
    336,447/719,550 = 719,550/x
  3. Step 3: Cross multiply
    336,447x = 719,550 × 719,550
  4. Step 4: Simplify right side
    336,447x = 517,752,202,500
  5. Step 5: Solve for x
    x = 517,752,202,500/336,447
  6. Step 6: Final answer
    x = 1,538,881.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.