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Finding the Third Proportional to 232,407 and 498,712.50

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Solution

The third proportional to 232,407 and 498,712.50 is: 1,070,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,407 : 498,712.50 = 498,712.50 : x
  2. Step 2: Convert to fraction form
    232,407/498,712.50 = 498,712.50/x
  3. Step 3: Cross multiply
    232,407x = 498,712.50 × 498,712.50
  4. Step 4: Simplify right side
    232,407x = 248,714,157,656.25
  5. Step 5: Solve for x
    x = 248,714,157,656.25/232,407
  6. Step 6: Final answer
    x = 1,070,166.38

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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.