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Finding the Third Proportional to 309,599 and 632,319

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Solution

The third proportional to 309,599 and 632,319 is: 1,291,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,599 : 632,319 = 632,319 : x
  2. Step 2: Convert to fraction form
    309,599/632,319 = 632,319/x
  3. Step 3: Cross multiply
    309,599x = 632,319 × 632,319
  4. Step 4: Simplify right side
    309,599x = 399,827,317,761
  5. Step 5: Solve for x
    x = 399,827,317,761/309,599
  6. Step 6: Final answer
    x = 1,291,436.08

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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.