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Finding the Third Proportional to 352,656 and 758,346

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Solution

The third proportional to 352,656 and 758,346 is: 1,630,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,656 : 758,346 = 758,346 : x
  2. Step 2: Convert to fraction form
    352,656/758,346 = 758,346/x
  3. Step 3: Cross multiply
    352,656x = 758,346 × 758,346
  4. Step 4: Simplify right side
    352,656x = 575,088,655,716
  5. Step 5: Solve for x
    x = 575,088,655,716/352,656
  6. Step 6: Final answer
    x = 1,630,735.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.