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Finding the Third Proportional to 366,010 and 584,412

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Solution

The third proportional to 366,010 and 584,412 is: 933,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,010 : 584,412 = 584,412 : x
  2. Step 2: Convert to fraction form
    366,010/584,412 = 584,412/x
  3. Step 3: Cross multiply
    366,010x = 584,412 × 584,412
  4. Step 4: Simplify right side
    366,010x = 341,537,385,744
  5. Step 5: Solve for x
    x = 341,537,385,744/366,010
  6. Step 6: Final answer
    x = 933,136.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.