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Finding the Third Proportional to 340,094 and 702,220

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Solution

The third proportional to 340,094 and 702,220 is: 1,449,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,094 : 702,220 = 702,220 : x
  2. Step 2: Convert to fraction form
    340,094/702,220 = 702,220/x
  3. Step 3: Cross multiply
    340,094x = 702,220 × 702,220
  4. Step 4: Simplify right side
    340,094x = 493,112,928,400
  5. Step 5: Solve for x
    x = 493,112,928,400/340,094
  6. Step 6: Final answer
    x = 1,449,931.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.