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Finding the Third Proportional to 481,602 and 708,438

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Solution

The third proportional to 481,602 and 708,438 is: 1,042,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,602 : 708,438 = 708,438 : x
  2. Step 2: Convert to fraction form
    481,602/708,438 = 708,438/x
  3. Step 3: Cross multiply
    481,602x = 708,438 × 708,438
  4. Step 4: Simplify right side
    481,602x = 501,884,399,844
  5. Step 5: Solve for x
    x = 501,884,399,844/481,602
  6. Step 6: Final answer
    x = 1,042,114.44

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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.