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Finding the Third Proportional to 295,232 and 469,996

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Solution

The third proportional to 295,232 and 469,996 is: 748,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,232 : 469,996 = 469,996 : x
  2. Step 2: Convert to fraction form
    295,232/469,996 = 469,996/x
  3. Step 3: Cross multiply
    295,232x = 469,996 × 469,996
  4. Step 4: Simplify right side
    295,232x = 220,896,240,016
  5. Step 5: Solve for x
    x = 220,896,240,016/295,232
  6. Step 6: Final answer
    x = 748,212.39

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.