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Finding the Third Proportional to 332,893.13 and 514,876.50

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Solution

The third proportional to 332,893.13 and 514,876.50 is: 796,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,893.13 : 514,876.50 = 514,876.50 : x
  2. Step 2: Convert to fraction form
    332,893.13/514,876.50 = 514,876.50/x
  3. Step 3: Cross multiply
    332,893.13x = 514,876.50 × 514,876.50
  4. Step 4: Simplify right side
    332,893.13x = 265,097,810,252.25
  5. Step 5: Solve for x
    x = 265,097,810,252.25/332,893.13
  6. Step 6: Final answer
    x = 796,345.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.