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Finding the Third Proportional to 336,649.50 and 719,952.75

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Solution

The third proportional to 336,649.50 and 719,952.75 is: 1,539,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,649.50 : 719,952.75 = 719,952.75 : x
  2. Step 2: Convert to fraction form
    336,649.50/719,952.75 = 719,952.75/x
  3. Step 3: Cross multiply
    336,649.50x = 719,952.75 × 719,952.75
  4. Step 4: Simplify right side
    336,649.50x = 518,331,962,232.56
  5. Step 5: Solve for x
    x = 518,331,962,232.56/336,649.50
  6. Step 6: Final answer
    x = 1,539,678.40

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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.