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Finding the Third Proportional to 229,602 and 503,511

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Solution

The third proportional to 229,602 and 503,511 is: 1,104,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,602 : 503,511 = 503,511 : x
  2. Step 2: Convert to fraction form
    229,602/503,511 = 503,511/x
  3. Step 3: Cross multiply
    229,602x = 503,511 × 503,511
  4. Step 4: Simplify right side
    229,602x = 253,523,327,121
  5. Step 5: Solve for x
    x = 253,523,327,121/229,602
  6. Step 6: Final answer
    x = 1,104,186.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.