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Finding the Third Proportional to 349,031.53 and 533,696.34

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Solution

The third proportional to 349,031.53 and 533,696.34 is: 816,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,031.53 : 533,696.34 = 533,696.34 : x
  2. Step 2: Convert to fraction form
    349,031.53/533,696.34 = 533,696.34/x
  3. Step 3: Cross multiply
    349,031.53x = 533,696.34 × 533,696.34
  4. Step 4: Simplify right side
    349,031.53x = 284,831,787,332.12
  5. Step 5: Solve for x
    x = 284,831,787,332.12/349,031.53
  6. Step 6: Final answer
    x = 816,063.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.