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Finding the Third Proportional to 356,996 and 783,004

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Solution

The third proportional to 356,996 and 783,004 is: 1,717,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,996 : 783,004 = 783,004 : x
  2. Step 2: Convert to fraction form
    356,996/783,004 = 783,004/x
  3. Step 3: Cross multiply
    356,996x = 783,004 × 783,004
  4. Step 4: Simplify right side
    356,996x = 613,095,264,016
  5. Step 5: Solve for x
    x = 613,095,264,016/356,996
  6. Step 6: Final answer
    x = 1,717,372.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.