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Finding the Third Proportional to 296,776.50 and 699,870.50

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Solution

The third proportional to 296,776.50 and 699,870.50 is: 1,650,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,776.50 : 699,870.50 = 699,870.50 : x
  2. Step 2: Convert to fraction form
    296,776.50/699,870.50 = 699,870.50/x
  3. Step 3: Cross multiply
    296,776.50x = 699,870.50 × 699,870.50
  4. Step 4: Simplify right side
    296,776.50x = 489,818,716,770.25
  5. Step 5: Solve for x
    x = 489,818,716,770.25/296,776.50
  6. Step 6: Final answer
    x = 1,650,463.28

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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.