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Finding the Third Proportional to 344,195 and 745,583

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Solution

The third proportional to 344,195 and 745,583 is: 1,615,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,195 : 745,583 = 745,583 : x
  2. Step 2: Convert to fraction form
    344,195/745,583 = 745,583/x
  3. Step 3: Cross multiply
    344,195x = 745,583 × 745,583
  4. Step 4: Simplify right side
    344,195x = 555,894,009,889
  5. Step 5: Solve for x
    x = 555,894,009,889/344,195
  6. Step 6: Final answer
    x = 1,615,055.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.