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Finding the Third Proportional to 297,024 and 459,608

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Solution

The third proportional to 297,024 and 459,608 is: 711,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,024 : 459,608 = 459,608 : x
  2. Step 2: Convert to fraction form
    297,024/459,608 = 459,608/x
  3. Step 3: Cross multiply
    297,024x = 459,608 × 459,608
  4. Step 4: Simplify right side
    297,024x = 211,239,513,664
  5. Step 5: Solve for x
    x = 211,239,513,664/297,024
  6. Step 6: Final answer
    x = 711,186.68

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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.