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Finding the Third Proportional to 382,624.31 and 553,111.88

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Solution

The third proportional to 382,624.31 and 553,111.88 is: 799,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,624.31 : 553,111.88 = 553,111.88 : x
  2. Step 2: Convert to fraction form
    382,624.31/553,111.88 = 553,111.88/x
  3. Step 3: Cross multiply
    382,624.31x = 553,111.88 × 553,111.88
  4. Step 4: Simplify right side
    382,624.31x = 305,932,746,266.02
  5. Step 5: Solve for x
    x = 305,932,746,266.02/382,624.31
  6. Step 6: Final answer
    x = 799,564.31

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.