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Finding the Third Proportional to 355,044 and 772,296

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Solution

The third proportional to 355,044 and 772,296 is: 1,679,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,044 : 772,296 = 772,296 : x
  2. Step 2: Convert to fraction form
    355,044/772,296 = 772,296/x
  3. Step 3: Cross multiply
    355,044x = 772,296 × 772,296
  4. Step 4: Simplify right side
    355,044x = 596,441,111,616
  5. Step 5: Solve for x
    x = 596,441,111,616/355,044
  6. Step 6: Final answer
    x = 1,679,907.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.