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Finding the Third Proportional to 470,296 and 709,684

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Solution

The third proportional to 470,296 and 709,684 is: 1,070,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,296 : 709,684 = 709,684 : x
  2. Step 2: Convert to fraction form
    470,296/709,684 = 709,684/x
  3. Step 3: Cross multiply
    470,296x = 709,684 × 709,684
  4. Step 4: Simplify right side
    470,296x = 503,651,379,856
  5. Step 5: Solve for x
    x = 503,651,379,856/470,296
  6. Step 6: Final answer
    x = 1,070,924.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.