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Finding the Third Proportional to 329,959.13 and 514,657.69

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Solution

The third proportional to 329,959.13 and 514,657.69 is: 802,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,959.13 : 514,657.69 = 514,657.69 : x
  2. Step 2: Convert to fraction form
    329,959.13/514,657.69 = 514,657.69/x
  3. Step 3: Cross multiply
    329,959.13x = 514,657.69 × 514,657.69
  4. Step 4: Simplify right side
    329,959.13x = 264,872,535,302.85
  5. Step 5: Solve for x
    x = 264,872,535,302.85/329,959.13
  6. Step 6: Final answer
    x = 802,743.48

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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.