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Finding the Third Proportional to 354,815.44 and 510,031.69

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Solution

The third proportional to 354,815.44 and 510,031.69 is: 733,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,815.44 : 510,031.69 = 510,031.69 : x
  2. Step 2: Convert to fraction form
    354,815.44/510,031.69 = 510,031.69/x
  3. Step 3: Cross multiply
    354,815.44x = 510,031.69 × 510,031.69
  4. Step 4: Simplify right side
    354,815.44x = 260,132,322,254.10
  5. Step 5: Solve for x
    x = 260,132,322,254.10/354,815.44
  6. Step 6: Final answer
    x = 733,148.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.