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Finding the Third Proportional to 313,440 and 689,080

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Solution

The third proportional to 313,440 and 689,080 is: 1,514,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,440 : 689,080 = 689,080 : x
  2. Step 2: Convert to fraction form
    313,440/689,080 = 689,080/x
  3. Step 3: Cross multiply
    313,440x = 689,080 × 689,080
  4. Step 4: Simplify right side
    313,440x = 474,831,246,400
  5. Step 5: Solve for x
    x = 474,831,246,400/313,440
  6. Step 6: Final answer
    x = 1,514,903.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.