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Finding the Third Proportional to 504,963 and 776,124

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Solution

The third proportional to 504,963 and 776,124 is: 1,192,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,963 : 776,124 = 776,124 : x
  2. Step 2: Convert to fraction form
    504,963/776,124 = 776,124/x
  3. Step 3: Cross multiply
    504,963x = 776,124 × 776,124
  4. Step 4: Simplify right side
    504,963x = 602,368,463,376
  5. Step 5: Solve for x
    x = 602,368,463,376/504,963
  6. Step 6: Final answer
    x = 1,192,896.24

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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.