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Finding the Third Proportional to 336,442 and 710,794

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Solution

The third proportional to 336,442 and 710,794 is: 1,501,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,442 : 710,794 = 710,794 : x
  2. Step 2: Convert to fraction form
    336,442/710,794 = 710,794/x
  3. Step 3: Cross multiply
    336,442x = 710,794 × 710,794
  4. Step 4: Simplify right side
    336,442x = 505,228,110,436
  5. Step 5: Solve for x
    x = 505,228,110,436/336,442
  6. Step 6: Final answer
    x = 1,501,679.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.