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Finding the Third Proportional to 459,309 and 653,241

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Solution

The third proportional to 459,309 and 653,241 is: 929,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,309 : 653,241 = 653,241 : x
  2. Step 2: Convert to fraction form
    459,309/653,241 = 653,241/x
  3. Step 3: Cross multiply
    459,309x = 653,241 × 653,241
  4. Step 4: Simplify right side
    459,309x = 426,723,804,081
  5. Step 5: Solve for x
    x = 426,723,804,081/459,309
  6. Step 6: Final answer
    x = 929,056.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.