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Finding the Third Proportional to 481,610 and 708,450

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Solution

The third proportional to 481,610 and 708,450 is: 1,042,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,610 : 708,450 = 708,450 : x
  2. Step 2: Convert to fraction form
    481,610/708,450 = 708,450/x
  3. Step 3: Cross multiply
    481,610x = 708,450 × 708,450
  4. Step 4: Simplify right side
    481,610x = 501,901,402,500
  5. Step 5: Solve for x
    x = 501,901,402,500/481,610
  6. Step 6: Final answer
    x = 1,042,132.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.