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Finding the Third Proportional to 365,716 and 583,986

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Solution

The third proportional to 365,716 and 583,986 is: 932,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,716 : 583,986 = 583,986 : x
  2. Step 2: Convert to fraction form
    365,716/583,986 = 583,986/x
  3. Step 3: Cross multiply
    365,716x = 583,986 × 583,986
  4. Step 4: Simplify right side
    365,716x = 341,039,648,196
  5. Step 5: Solve for x
    x = 341,039,648,196/365,716
  6. Step 6: Final answer
    x = 932,525.92

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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.