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Finding the Third Proportional to 584,854 and 857,004

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Solution

The third proportional to 584,854 and 857,004 is: 1,255,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,854 : 857,004 = 857,004 : x
  2. Step 2: Convert to fraction form
    584,854/857,004 = 857,004/x
  3. Step 3: Cross multiply
    584,854x = 857,004 × 857,004
  4. Step 4: Simplify right side
    584,854x = 734,455,856,016
  5. Step 5: Solve for x
    x = 734,455,856,016/584,854
  6. Step 6: Final answer
    x = 1,255,793.51

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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.