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Finding the Third Proportional to 296,613 and 699,886.50

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Solution

The third proportional to 296,613 and 699,886.50 is: 1,651,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,613 : 699,886.50 = 699,886.50 : x
  2. Step 2: Convert to fraction form
    296,613/699,886.50 = 699,886.50/x
  3. Step 3: Cross multiply
    296,613x = 699,886.50 × 699,886.50
  4. Step 4: Simplify right side
    296,613x = 489,841,112,882.25
  5. Step 5: Solve for x
    x = 489,841,112,882.25/296,613
  6. Step 6: Final answer
    x = 1,651,448.56

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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.