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Finding the Third Proportional to 371,504 and 814,207

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Solution

The third proportional to 371,504 and 814,207 is: 1,784,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,504 : 814,207 = 814,207 : x
  2. Step 2: Convert to fraction form
    371,504/814,207 = 814,207/x
  3. Step 3: Cross multiply
    371,504x = 814,207 × 814,207
  4. Step 4: Simplify right side
    371,504x = 662,933,038,849
  5. Step 5: Solve for x
    x = 662,933,038,849/371,504
  6. Step 6: Final answer
    x = 1,784,457.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.