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Finding the Third Proportional to 305,952 and 671,004

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Solution

The third proportional to 305,952 and 671,004 is: 1,471,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,952 : 671,004 = 671,004 : x
  2. Step 2: Convert to fraction form
    305,952/671,004 = 671,004/x
  3. Step 3: Cross multiply
    305,952x = 671,004 × 671,004
  4. Step 4: Simplify right side
    305,952x = 450,246,368,016
  5. Step 5: Solve for x
    x = 450,246,368,016/305,952
  6. Step 6: Final answer
    x = 1,471,624.20

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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.