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Finding the Third Proportional to 330,643.69 and 496,411.03

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Solution

The third proportional to 330,643.69 and 496,411.03 is: 745,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,643.69 : 496,411.03 = 496,411.03 : x
  2. Step 2: Convert to fraction form
    330,643.69/496,411.03 = 496,411.03/x
  3. Step 3: Cross multiply
    330,643.69x = 496,411.03 × 496,411.03
  4. Step 4: Simplify right side
    330,643.69x = 246,423,911,946.69
  5. Step 5: Solve for x
    x = 246,423,911,946.69/330,643.69
  6. Step 6: Final answer
    x = 745,285.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.