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Finding the Third Proportional to 354,666 and 788,063

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Solution

The third proportional to 354,666 and 788,063 is: 1,751,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,666 : 788,063 = 788,063 : x
  2. Step 2: Convert to fraction form
    354,666/788,063 = 788,063/x
  3. Step 3: Cross multiply
    354,666x = 788,063 × 788,063
  4. Step 4: Simplify right side
    354,666x = 621,043,291,969
  5. Step 5: Solve for x
    x = 621,043,291,969/354,666
  6. Step 6: Final answer
    x = 1,751,065.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.