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Finding the Third Proportional to 228,924 and 497,253.50

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Solution

The third proportional to 228,924 and 497,253.50 is: 1,080,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,924 : 497,253.50 = 497,253.50 : x
  2. Step 2: Convert to fraction form
    228,924/497,253.50 = 497,253.50/x
  3. Step 3: Cross multiply
    228,924x = 497,253.50 × 497,253.50
  4. Step 4: Simplify right side
    228,924x = 247,261,043,262.25
  5. Step 5: Solve for x
    x = 247,261,043,262.25/228,924
  6. Step 6: Final answer
    x = 1,080,101.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.