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Finding the Third Proportional to 562,617.56 and 803,967.19

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Solution

The third proportional to 562,617.56 and 803,967.19 is: 1,148,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,617.56 : 803,967.19 = 803,967.19 : x
  2. Step 2: Convert to fraction form
    562,617.56/803,967.19 = 803,967.19/x
  3. Step 3: Cross multiply
    562,617.56x = 803,967.19 × 803,967.19
  4. Step 4: Simplify right side
    562,617.56x = 646,363,238,576.66
  5. Step 5: Solve for x
    x = 646,363,238,576.66/562,617.56
  6. Step 6: Final answer
    x = 1,148,850.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.