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Finding the Third Proportional to 473,240 and 707,988

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Solution

The third proportional to 473,240 and 707,988 is: 1,059,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,240 : 707,988 = 707,988 : x
  2. Step 2: Convert to fraction form
    473,240/707,988 = 707,988/x
  3. Step 3: Cross multiply
    473,240x = 707,988 × 707,988
  4. Step 4: Simplify right side
    473,240x = 501,247,008,144
  5. Step 5: Solve for x
    x = 501,247,008,144/473,240
  6. Step 6: Final answer
    x = 1,059,181.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.