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Finding the Third Proportional to 294,786 and 692,949

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Solution

The third proportional to 294,786 and 692,949 is: 1,628,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,786 : 692,949 = 692,949 : x
  2. Step 2: Convert to fraction form
    294,786/692,949 = 692,949/x
  3. Step 3: Cross multiply
    294,786x = 692,949 × 692,949
  4. Step 4: Simplify right side
    294,786x = 480,178,316,601
  5. Step 5: Solve for x
    x = 480,178,316,601/294,786
  6. Step 6: Final answer
    x = 1,628,904.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.