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Finding the Third Proportional to 397,444 and 583,494

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Solution

The third proportional to 397,444 and 583,494 is: 856,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,444 : 583,494 = 583,494 : x
  2. Step 2: Convert to fraction form
    397,444/583,494 = 583,494/x
  3. Step 3: Cross multiply
    397,444x = 583,494 × 583,494
  4. Step 4: Simplify right side
    397,444x = 340,465,248,036
  5. Step 5: Solve for x
    x = 340,465,248,036/397,444
  6. Step 6: Final answer
    x = 856,637.03

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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.