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Finding the Third Proportional to 588,083 and 879,774

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Solution

The third proportional to 588,083 and 879,774 is: 1,316,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,083 : 879,774 = 879,774 : x
  2. Step 2: Convert to fraction form
    588,083/879,774 = 879,774/x
  3. Step 3: Cross multiply
    588,083x = 879,774 × 879,774
  4. Step 4: Simplify right side
    588,083x = 774,002,291,076
  5. Step 5: Solve for x
    x = 774,002,291,076/588,083
  6. Step 6: Final answer
    x = 1,316,144.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.