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Finding the Third Proportional to 370,024 and 802,256

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Solution

The third proportional to 370,024 and 802,256 is: 1,739,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,024 : 802,256 = 802,256 : x
  2. Step 2: Convert to fraction form
    370,024/802,256 = 802,256/x
  3. Step 3: Cross multiply
    370,024x = 802,256 × 802,256
  4. Step 4: Simplify right side
    370,024x = 643,614,689,536
  5. Step 5: Solve for x
    x = 643,614,689,536/370,024
  6. Step 6: Final answer
    x = 1,739,386.34

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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.