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Finding the Third Proportional to 312,556 and 481,804

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Solution

The third proportional to 312,556 and 481,804 is: 742,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,556 : 481,804 = 481,804 : x
  2. Step 2: Convert to fraction form
    312,556/481,804 = 481,804/x
  3. Step 3: Cross multiply
    312,556x = 481,804 × 481,804
  4. Step 4: Simplify right side
    312,556x = 232,135,094,416
  5. Step 5: Solve for x
    x = 232,135,094,416/312,556
  6. Step 6: Final answer
    x = 742,699.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.