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Finding the Third Proportional to 361,152 and 541,746

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Solution

The third proportional to 361,152 and 541,746 is: 812,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,152 : 541,746 = 541,746 : x
  2. Step 2: Convert to fraction form
    361,152/541,746 = 541,746/x
  3. Step 3: Cross multiply
    361,152x = 541,746 × 541,746
  4. Step 4: Simplify right side
    361,152x = 293,488,728,516
  5. Step 5: Solve for x
    x = 293,488,728,516/361,152
  6. Step 6: Final answer
    x = 812,646.00

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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.