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Finding the Third Proportional to 354,058.50 and 778,101

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Solution

The third proportional to 354,058.50 and 778,101 is: 1,710,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,058.50 : 778,101 = 778,101 : x
  2. Step 2: Convert to fraction form
    354,058.50/778,101 = 778,101/x
  3. Step 3: Cross multiply
    354,058.50x = 778,101 × 778,101
  4. Step 4: Simplify right side
    354,058.50x = 605,441,166,201
  5. Step 5: Solve for x
    x = 605,441,166,201/354,058.50
  6. Step 6: Final answer
    x = 1,710,003.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.