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Finding the Third Proportional to 297,556 and 459,736

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Solution

The third proportional to 297,556 and 459,736 is: 710,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,556 : 459,736 = 459,736 : x
  2. Step 2: Convert to fraction form
    297,556/459,736 = 459,736/x
  3. Step 3: Cross multiply
    297,556x = 459,736 × 459,736
  4. Step 4: Simplify right side
    297,556x = 211,357,189,696
  5. Step 5: Solve for x
    x = 211,357,189,696/297,556
  6. Step 6: Final answer
    x = 710,310.63

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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.