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Finding the Third Proportional to 344,031 and 531,386

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Solution

The third proportional to 344,031 and 531,386 is: 820,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,031 : 531,386 = 531,386 : x
  2. Step 2: Convert to fraction form
    344,031/531,386 = 531,386/x
  3. Step 3: Cross multiply
    344,031x = 531,386 × 531,386
  4. Step 4: Simplify right side
    344,031x = 282,371,080,996
  5. Step 5: Solve for x
    x = 282,371,080,996/344,031
  6. Step 6: Final answer
    x = 820,772.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.