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Finding the Third Proportional to 596,852 and 925,534

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Solution

The third proportional to 596,852 and 925,534 is: 1,435,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,852 : 925,534 = 925,534 : x
  2. Step 2: Convert to fraction form
    596,852/925,534 = 925,534/x
  3. Step 3: Cross multiply
    596,852x = 925,534 × 925,534
  4. Step 4: Simplify right side
    596,852x = 856,613,185,156
  5. Step 5: Solve for x
    x = 856,613,185,156/596,852
  6. Step 6: Final answer
    x = 1,435,218.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.