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Finding the Third Proportional to 301,468.50 and 646,645.50

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Solution

The third proportional to 301,468.50 and 646,645.50 is: 1,387,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,468.50 : 646,645.50 = 646,645.50 : x
  2. Step 2: Convert to fraction form
    301,468.50/646,645.50 = 646,645.50/x
  3. Step 3: Cross multiply
    301,468.50x = 646,645.50 × 646,645.50
  4. Step 4: Simplify right side
    301,468.50x = 418,150,402,670.25
  5. Step 5: Solve for x
    x = 418,150,402,670.25/301,468.50
  6. Step 6: Final answer
    x = 1,387,045.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.