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Finding the Third Proportional to 433,442.25 and 690,300

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Solution

The third proportional to 433,442.25 and 690,300 is: 1,099,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,442.25 : 690,300 = 690,300 : x
  2. Step 2: Convert to fraction form
    433,442.25/690,300 = 690,300/x
  3. Step 3: Cross multiply
    433,442.25x = 690,300 × 690,300
  4. Step 4: Simplify right side
    433,442.25x = 476,514,090,000
  5. Step 5: Solve for x
    x = 476,514,090,000/433,442.25
  6. Step 6: Final answer
    x = 1,099,371.58

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.