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Finding the Third Proportional to 345,136 and 707,000

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Solution

The third proportional to 345,136 and 707,000 is: 1,448,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,136 : 707,000 = 707,000 : x
  2. Step 2: Convert to fraction form
    345,136/707,000 = 707,000/x
  3. Step 3: Cross multiply
    345,136x = 707,000 × 707,000
  4. Step 4: Simplify right side
    345,136x = 499,849,000,000
  5. Step 5: Solve for x
    x = 499,849,000,000/345,136
  6. Step 6: Final answer
    x = 1,448,266.77

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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.