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Finding the Third Proportional to 296,765.65 and 699,848.54

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Solution

The third proportional to 296,765.65 and 699,848.54 is: 1,650,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,765.65 : 699,848.54 = 699,848.54 : x
  2. Step 2: Convert to fraction form
    296,765.65/699,848.54 = 699,848.54/x
  3. Step 3: Cross multiply
    296,765.65x = 699,848.54 × 699,848.54
  4. Step 4: Simplify right side
    296,765.65x = 489,787,983,095.48
  5. Step 5: Solve for x
    x = 489,787,983,095.48/296,765.65
  6. Step 6: Final answer
    x = 1,650,420.07

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