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Finding the Third Proportional to 355,212 and 760,964

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Solution

The third proportional to 355,212 and 760,964 is: 1,630,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,212 : 760,964 = 760,964 : x
  2. Step 2: Convert to fraction form
    355,212/760,964 = 760,964/x
  3. Step 3: Cross multiply
    355,212x = 760,964 × 760,964
  4. Step 4: Simplify right side
    355,212x = 579,066,209,296
  5. Step 5: Solve for x
    x = 579,066,209,296/355,212
  6. Step 6: Final answer
    x = 1,630,198.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.