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Finding the Third Proportional to 323,127 and 690,235.88

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Solution

The third proportional to 323,127 and 690,235.88 is: 1,474,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,127 : 690,235.88 = 690,235.88 : x
  2. Step 2: Convert to fraction form
    323,127/690,235.88 = 690,235.88/x
  3. Step 3: Cross multiply
    323,127x = 690,235.88 × 690,235.88
  4. Step 4: Simplify right side
    323,127x = 476,425,563,137.02
  5. Step 5: Solve for x
    x = 476,425,563,137.02/323,127
  6. Step 6: Final answer
    x = 1,474,422.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.