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Finding the Third Proportional to 334,688.63 and 502,763.44

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Solution

The third proportional to 334,688.63 and 502,763.44 is: 755,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,688.63 : 502,763.44 = 502,763.44 : x
  2. Step 2: Convert to fraction form
    334,688.63/502,763.44 = 502,763.44/x
  3. Step 3: Cross multiply
    334,688.63x = 502,763.44 × 502,763.44
  4. Step 4: Simplify right side
    334,688.63x = 252,771,074,086.82
  5. Step 5: Solve for x
    x = 252,771,074,086.82/334,688.63
  6. Step 6: Final answer
    x = 755,242.50

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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.