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Finding the Third Proportional to 365,712 and 583,980

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Solution

The third proportional to 365,712 and 583,980 is: 932,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,712 : 583,980 = 583,980 : x
  2. Step 2: Convert to fraction form
    365,712/583,980 = 583,980/x
  3. Step 3: Cross multiply
    365,712x = 583,980 × 583,980
  4. Step 4: Simplify right side
    365,712x = 341,032,640,400
  5. Step 5: Solve for x
    x = 341,032,640,400/365,712
  6. Step 6: Final answer
    x = 932,516.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.