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Finding the Third Proportional to 341,926 and 744,053

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Solution

The third proportional to 341,926 and 744,053 is: 1,619,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,926 : 744,053 = 744,053 : x
  2. Step 2: Convert to fraction form
    341,926/744,053 = 744,053/x
  3. Step 3: Cross multiply
    341,926x = 744,053 × 744,053
  4. Step 4: Simplify right side
    341,926x = 553,614,866,809
  5. Step 5: Solve for x
    x = 553,614,866,809/341,926
  6. Step 6: Final answer
    x = 1,619,107.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.