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Finding the Third Proportional to 498,296 and 1,063,030

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Solution

The third proportional to 498,296 and 1,063,030 is: 2,267,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,296 : 1,063,030 = 1,063,030 : x
  2. Step 2: Convert to fraction form
    498,296/1,063,030 = 1,063,030/x
  3. Step 3: Cross multiply
    498,296x = 1,063,030 × 1,063,030
  4. Step 4: Simplify right side
    498,296x = 1,130,032,780,900
  5. Step 5: Solve for x
    x = 1,130,032,780,900/498,296
  6. Step 6: Final answer
    x = 2,267,794.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.