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Finding the Third Proportional to 344,621 and 503,562

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Solution

The third proportional to 344,621 and 503,562 is: 735,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,621 : 503,562 = 503,562 : x
  2. Step 2: Convert to fraction form
    344,621/503,562 = 503,562/x
  3. Step 3: Cross multiply
    344,621x = 503,562 × 503,562
  4. Step 4: Simplify right side
    344,621x = 253,574,687,844
  5. Step 5: Solve for x
    x = 253,574,687,844/344,621
  6. Step 6: Final answer
    x = 735,807.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.