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Finding the Third Proportional to 329,961 and 514,660.50

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Solution

The third proportional to 329,961 and 514,660.50 is: 802,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,961 : 514,660.50 = 514,660.50 : x
  2. Step 2: Convert to fraction form
    329,961/514,660.50 = 514,660.50/x
  3. Step 3: Cross multiply
    329,961x = 514,660.50 × 514,660.50
  4. Step 4: Simplify right side
    329,961x = 264,875,430,260.25
  5. Step 5: Solve for x
    x = 264,875,430,260.25/329,961
  6. Step 6: Final answer
    x = 802,747.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.