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Finding the Third Proportional to 286,329 and 610,575

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Solution

The third proportional to 286,329 and 610,575 is: 1,302,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,329 : 610,575 = 610,575 : x
  2. Step 2: Convert to fraction form
    286,329/610,575 = 610,575/x
  3. Step 3: Cross multiply
    286,329x = 610,575 × 610,575
  4. Step 4: Simplify right side
    286,329x = 372,801,830,625
  5. Step 5: Solve for x
    x = 372,801,830,625/286,329
  6. Step 6: Final answer
    x = 1,302,005.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.