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Finding the Third Proportional to 334,030 and 700,883

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Solution

The third proportional to 334,030 and 700,883 is: 1,470,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,030 : 700,883 = 700,883 : x
  2. Step 2: Convert to fraction form
    334,030/700,883 = 700,883/x
  3. Step 3: Cross multiply
    334,030x = 700,883 × 700,883
  4. Step 4: Simplify right side
    334,030x = 491,236,979,689
  5. Step 5: Solve for x
    x = 491,236,979,689/334,030
  6. Step 6: Final answer
    x = 1,470,637.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.