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Finding the Third Proportional to 595,908 and 882,273

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Solution

The third proportional to 595,908 and 882,273 is: 1,306,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,908 : 882,273 = 882,273 : x
  2. Step 2: Convert to fraction form
    595,908/882,273 = 882,273/x
  3. Step 3: Cross multiply
    595,908x = 882,273 × 882,273
  4. Step 4: Simplify right side
    595,908x = 778,405,646,529
  5. Step 5: Solve for x
    x = 778,405,646,529/595,908
  6. Step 6: Final answer
    x = 1,306,251.38

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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.