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Finding the Third Proportional to 329,892.75 and 514,535.63

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Solution

The third proportional to 329,892.75 and 514,535.63 is: 802,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,892.75 : 514,535.63 = 514,535.63 : x
  2. Step 2: Convert to fraction form
    329,892.75/514,535.63 = 514,535.63/x
  3. Step 3: Cross multiply
    329,892.75x = 514,535.63 × 514,535.63
  4. Step 4: Simplify right side
    329,892.75x = 264,746,909,394.14
  5. Step 5: Solve for x
    x = 264,746,909,394.14/329,892.75
  6. Step 6: Final answer
    x = 802,524.18

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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.