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Finding the Third Proportional to 298,792.13 and 647,368.88

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Solution

The third proportional to 298,792.13 and 647,368.88 is: 1,402,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,792.13 : 647,368.88 = 647,368.88 : x
  2. Step 2: Convert to fraction form
    298,792.13/647,368.88 = 647,368.88/x
  3. Step 3: Cross multiply
    298,792.13x = 647,368.88 × 647,368.88
  4. Step 4: Simplify right side
    298,792.13x = 419,086,460,318.77
  5. Step 5: Solve for x
    x = 419,086,460,318.77/298,792.13
  6. Step 6: Final answer
    x = 1,402,602.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.