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Finding the Third Proportional to 295,527.66 and 468,032.34

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Solution

The third proportional to 295,527.66 and 468,032.34 is: 741,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,527.66 : 468,032.34 = 468,032.34 : x
  2. Step 2: Convert to fraction form
    295,527.66/468,032.34 = 468,032.34/x
  3. Step 3: Cross multiply
    295,527.66x = 468,032.34 × 468,032.34
  4. Step 4: Simplify right side
    295,527.66x = 219,054,274,796.12
  5. Step 5: Solve for x
    x = 219,054,274,796.12/295,527.66
  6. Step 6: Final answer
    x = 741,231.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.