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Finding the Third Proportional to 504,546 and 782,040

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Solution

The third proportional to 504,546 and 782,040 is: 1,212,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,546 : 782,040 = 782,040 : x
  2. Step 2: Convert to fraction form
    504,546/782,040 = 782,040/x
  3. Step 3: Cross multiply
    504,546x = 782,040 × 782,040
  4. Step 4: Simplify right side
    504,546x = 611,586,561,600
  5. Step 5: Solve for x
    x = 611,586,561,600/504,546
  6. Step 6: Final answer
    x = 1,212,152.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.