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Finding the Third Proportional to 297,158.63 and 642,750.19

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Solution

The third proportional to 297,158.63 and 642,750.19 is: 1,390,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,158.63 : 642,750.19 = 642,750.19 : x
  2. Step 2: Convert to fraction form
    297,158.63/642,750.19 = 642,750.19/x
  3. Step 3: Cross multiply
    297,158.63x = 642,750.19 × 642,750.19
  4. Step 4: Simplify right side
    297,158.63x = 413,127,803,531.29
  5. Step 5: Solve for x
    x = 413,127,803,531.29/297,158.63
  6. Step 6: Final answer
    x = 1,390,260.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.