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Finding the Third Proportional to 504,894.50 and 776,002

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Solution

The third proportional to 504,894.50 and 776,002 is: 1,192,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,894.50 : 776,002 = 776,002 : x
  2. Step 2: Convert to fraction form
    504,894.50/776,002 = 776,002/x
  3. Step 3: Cross multiply
    504,894.50x = 776,002 × 776,002
  4. Step 4: Simplify right side
    504,894.50x = 602,179,104,004
  5. Step 5: Solve for x
    x = 602,179,104,004/504,894.50
  6. Step 6: Final answer
    x = 1,192,683.03

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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.