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Finding the Third Proportional to 309,597 and 632,314.50

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Solution

The third proportional to 309,597 and 632,314.50 is: 1,291,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,597 : 632,314.50 = 632,314.50 : x
  2. Step 2: Convert to fraction form
    309,597/632,314.50 = 632,314.50/x
  3. Step 3: Cross multiply
    309,597x = 632,314.50 × 632,314.50
  4. Step 4: Simplify right side
    309,597x = 399,821,626,910.25
  5. Step 5: Solve for x
    x = 399,821,626,910.25/309,597
  6. Step 6: Final answer
    x = 1,291,426.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.