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Finding the Third Proportional to 232,897.50 and 498,994.50

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Solution

The third proportional to 232,897.50 and 498,994.50 is: 1,069,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,897.50 : 498,994.50 = 498,994.50 : x
  2. Step 2: Convert to fraction form
    232,897.50/498,994.50 = 498,994.50/x
  3. Step 3: Cross multiply
    232,897.50x = 498,994.50 × 498,994.50
  4. Step 4: Simplify right side
    232,897.50x = 248,995,511,030.25
  5. Step 5: Solve for x
    x = 248,995,511,030.25/232,897.50
  6. Step 6: Final answer
    x = 1,069,120.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.