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Finding the Third Proportional to 341,739 and 798,457

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Solution

The third proportional to 341,739 and 798,457 is: 1,865,556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,739 : 798,457 = 798,457 : x
  2. Step 2: Convert to fraction form
    341,739/798,457 = 798,457/x
  3. Step 3: Cross multiply
    341,739x = 798,457 × 798,457
  4. Step 4: Simplify right side
    341,739x = 637,533,580,849
  5. Step 5: Solve for x
    x = 637,533,580,849/341,739
  6. Step 6: Final answer
    x = 1,865,556.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.