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Finding the Third Proportional to 523,596 and 805,986

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Solution

The third proportional to 523,596 and 805,986 is: 1,240,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,596 : 805,986 = 805,986 : x
  2. Step 2: Convert to fraction form
    523,596/805,986 = 805,986/x
  3. Step 3: Cross multiply
    523,596x = 805,986 × 805,986
  4. Step 4: Simplify right side
    523,596x = 649,613,432,196
  5. Step 5: Solve for x
    x = 649,613,432,196/523,596
  6. Step 6: Final answer
    x = 1,240,676.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.