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Finding the Third Proportional to 296,609.50 and 699,878.50

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Solution

The third proportional to 296,609.50 and 699,878.50 is: 1,651,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,609.50 : 699,878.50 = 699,878.50 : x
  2. Step 2: Convert to fraction form
    296,609.50/699,878.50 = 699,878.50/x
  3. Step 3: Cross multiply
    296,609.50x = 699,878.50 × 699,878.50
  4. Step 4: Simplify right side
    296,609.50x = 489,829,914,762.25
  5. Step 5: Solve for x
    x = 489,829,914,762.25/296,609.50
  6. Step 6: Final answer
    x = 1,651,430.30

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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.