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Finding the Third Proportional to 301,905 and 651,103.50

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Solution

The third proportional to 301,905 and 651,103.50 is: 1,404,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,905 : 651,103.50 = 651,103.50 : x
  2. Step 2: Convert to fraction form
    301,905/651,103.50 = 651,103.50/x
  3. Step 3: Cross multiply
    301,905x = 651,103.50 × 651,103.50
  4. Step 4: Simplify right side
    301,905x = 423,935,767,712.25
  5. Step 5: Solve for x
    x = 423,935,767,712.25/301,905
  6. Step 6: Final answer
    x = 1,404,202.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.