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Finding the Third Proportional to 264,807 and 588,460.50

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Solution

The third proportional to 264,807 and 588,460.50 is: 1,307,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,807 : 588,460.50 = 588,460.50 : x
  2. Step 2: Convert to fraction form
    264,807/588,460.50 = 588,460.50/x
  3. Step 3: Cross multiply
    264,807x = 588,460.50 × 588,460.50
  4. Step 4: Simplify right side
    264,807x = 346,285,760,060.25
  5. Step 5: Solve for x
    x = 346,285,760,060.25/264,807
  6. Step 6: Final answer
    x = 1,307,691.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.