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Finding the Third Proportional to 297,555.75 and 702,301.50

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Solution

The third proportional to 297,555.75 and 702,301.50 is: 1,657,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,555.75 : 702,301.50 = 702,301.50 : x
  2. Step 2: Convert to fraction form
    297,555.75/702,301.50 = 702,301.50/x
  3. Step 3: Cross multiply
    297,555.75x = 702,301.50 × 702,301.50
  4. Step 4: Simplify right side
    297,555.75x = 493,227,396,902.25
  5. Step 5: Solve for x
    x = 493,227,396,902.25/297,555.75
  6. Step 6: Final answer
    x = 1,657,596.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.