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Finding the Third Proportional to 742,352.34 and 1,147,643.44

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Solution

The third proportional to 742,352.34 and 1,147,643.44 is: 1,774,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,352.34 : 1,147,643.44 = 1,147,643.44 : x
  2. Step 2: Convert to fraction form
    742,352.34/1,147,643.44 = 1,147,643.44/x
  3. Step 3: Cross multiply
    742,352.34x = 1,147,643.44 × 1,147,643.44
  4. Step 4: Simplify right side
    742,352.34x = 1,317,085,459,636.82
  5. Step 5: Solve for x
    x = 1,317,085,459,636.82/742,352.34
  6. Step 6: Final answer
    x = 1,774,205.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.