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Finding the Third Proportional to 344,466 and 503,088

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Solution

The third proportional to 344,466 and 503,088 is: 734,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,466 : 503,088 = 503,088 : x
  2. Step 2: Convert to fraction form
    344,466/503,088 = 503,088/x
  3. Step 3: Cross multiply
    344,466x = 503,088 × 503,088
  4. Step 4: Simplify right side
    344,466x = 253,097,535,744
  5. Step 5: Solve for x
    x = 253,097,535,744/344,466
  6. Step 6: Final answer
    x = 734,753.32

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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.