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Finding the Third Proportional to 401,246 and 589,565

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Solution

The third proportional to 401,246 and 589,565 is: 866,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,246 : 589,565 = 589,565 : x
  2. Step 2: Convert to fraction form
    401,246/589,565 = 589,565/x
  3. Step 3: Cross multiply
    401,246x = 589,565 × 589,565
  4. Step 4: Simplify right side
    401,246x = 347,586,889,225
  5. Step 5: Solve for x
    x = 347,586,889,225/401,246
  6. Step 6: Final answer
    x = 866,268.80

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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.