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Finding the Third Proportional to 336,648 and 719,951

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Solution

The third proportional to 336,648 and 719,951 is: 1,539,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,648 : 719,951 = 719,951 : x
  2. Step 2: Convert to fraction form
    336,648/719,951 = 719,951/x
  3. Step 3: Cross multiply
    336,648x = 719,951 × 719,951
  4. Step 4: Simplify right side
    336,648x = 518,329,442,401
  5. Step 5: Solve for x
    x = 518,329,442,401/336,648
  6. Step 6: Final answer
    x = 1,539,677.77

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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.