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Finding the Third Proportional to 292,070 and 442,004

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Solution

The third proportional to 292,070 and 442,004 is: 668,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,070 : 442,004 = 442,004 : x
  2. Step 2: Convert to fraction form
    292,070/442,004 = 442,004/x
  3. Step 3: Cross multiply
    292,070x = 442,004 × 442,004
  4. Step 4: Simplify right side
    292,070x = 195,367,536,016
  5. Step 5: Solve for x
    x = 195,367,536,016/292,070
  6. Step 6: Final answer
    x = 668,906.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.