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Finding the Third Proportional to 595,787.91 and 882,107.72

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Solution

The third proportional to 595,787.91 and 882,107.72 is: 1,306,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,787.91 : 882,107.72 = 882,107.72 : x
  2. Step 2: Convert to fraction form
    595,787.91/882,107.72 = 882,107.72/x
  3. Step 3: Cross multiply
    595,787.91x = 882,107.72 × 882,107.72
  4. Step 4: Simplify right side
    595,787.91x = 778,114,027,478.33
  5. Step 5: Solve for x
    x = 778,114,027,478.33/595,787.91
  6. Step 6: Final answer
    x = 1,306,025.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.