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Finding the Third Proportional to 605,689.50 and 882,243

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Solution

The third proportional to 605,689.50 and 882,243 is: 1,285,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,689.50 : 882,243 = 882,243 : x
  2. Step 2: Convert to fraction form
    605,689.50/882,243 = 882,243/x
  3. Step 3: Cross multiply
    605,689.50x = 882,243 × 882,243
  4. Step 4: Simplify right side
    605,689.50x = 778,352,711,049
  5. Step 5: Solve for x
    x = 778,352,711,049/605,689.50
  6. Step 6: Final answer
    x = 1,285,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.