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Finding the Third Proportional to 509,393 and 746,040

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Solution

The third proportional to 509,393 and 746,040 is: 1,092,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,393 : 746,040 = 746,040 : x
  2. Step 2: Convert to fraction form
    509,393/746,040 = 746,040/x
  3. Step 3: Cross multiply
    509,393x = 746,040 × 746,040
  4. Step 4: Simplify right side
    509,393x = 556,575,681,600
  5. Step 5: Solve for x
    x = 556,575,681,600/509,393
  6. Step 6: Final answer
    x = 1,092,625.30

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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.