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Finding the Third Proportional to 504,893.75 and 776,001

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Solution

The third proportional to 504,893.75 and 776,001 is: 1,192,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,893.75 : 776,001 = 776,001 : x
  2. Step 2: Convert to fraction form
    504,893.75/776,001 = 776,001/x
  3. Step 3: Cross multiply
    504,893.75x = 776,001 × 776,001
  4. Step 4: Simplify right side
    504,893.75x = 602,177,552,001
  5. Step 5: Solve for x
    x = 602,177,552,001/504,893.75
  6. Step 6: Final answer
    x = 1,192,681.73

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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.