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Finding the Third Proportional to 557,916.19 and 828,672.19

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Solution

The third proportional to 557,916.19 and 828,672.19 is: 1,230,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,916.19 : 828,672.19 = 828,672.19 : x
  2. Step 2: Convert to fraction form
    557,916.19/828,672.19 = 828,672.19/x
  3. Step 3: Cross multiply
    557,916.19x = 828,672.19 × 828,672.19
  4. Step 4: Simplify right side
    557,916.19x = 686,697,594,336.04
  5. Step 5: Solve for x
    x = 686,697,594,336.04/557,916.19
  6. Step 6: Final answer
    x = 1,230,825.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.