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Finding the Third Proportional to 345,152 and 707,024

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Solution

The third proportional to 345,152 and 707,024 is: 1,448,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,152 : 707,024 = 707,024 : x
  2. Step 2: Convert to fraction form
    345,152/707,024 = 707,024/x
  3. Step 3: Cross multiply
    345,152x = 707,024 × 707,024
  4. Step 4: Simplify right side
    345,152x = 499,882,936,576
  5. Step 5: Solve for x
    x = 499,882,936,576/345,152
  6. Step 6: Final answer
    x = 1,448,297.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.