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Finding the Third Proportional to 309,587 and 632,297

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Solution

The third proportional to 309,587 and 632,297 is: 1,291,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,587 : 632,297 = 632,297 : x
  2. Step 2: Convert to fraction form
    309,587/632,297 = 632,297/x
  3. Step 3: Cross multiply
    309,587x = 632,297 × 632,297
  4. Step 4: Simplify right side
    309,587x = 399,799,496,209
  5. Step 5: Solve for x
    x = 399,799,496,209/309,587
  6. Step 6: Final answer
    x = 1,291,396.27

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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.