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Finding the Third Proportional to 292,929.75 and 442,536.75

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Solution

The third proportional to 292,929.75 and 442,536.75 is: 668,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,929.75 : 442,536.75 = 442,536.75 : x
  2. Step 2: Convert to fraction form
    292,929.75/442,536.75 = 442,536.75/x
  3. Step 3: Cross multiply
    292,929.75x = 442,536.75 × 442,536.75
  4. Step 4: Simplify right side
    292,929.75x = 195,838,775,100.56
  5. Step 5: Solve for x
    x = 195,838,775,100.56/292,929.75
  6. Step 6: Final answer
    x = 668,552.02

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