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Finding the Third Proportional to 304,452 and 432,735.75

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Solution

The third proportional to 304,452 and 432,735.75 is: 615,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,452 : 432,735.75 = 432,735.75 : x
  2. Step 2: Convert to fraction form
    304,452/432,735.75 = 432,735.75/x
  3. Step 3: Cross multiply
    304,452x = 432,735.75 × 432,735.75
  4. Step 4: Simplify right side
    304,452x = 187,260,229,328.06
  5. Step 5: Solve for x
    x = 187,260,229,328.06/304,452
  6. Step 6: Final answer
    x = 615,073.08

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.