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Finding the Third Proportional to 335,097 and 717,498

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Solution

The third proportional to 335,097 and 717,498 is: 1,536,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,097 : 717,498 = 717,498 : x
  2. Step 2: Convert to fraction form
    335,097/717,498 = 717,498/x
  3. Step 3: Cross multiply
    335,097x = 717,498 × 717,498
  4. Step 4: Simplify right side
    335,097x = 514,803,380,004
  5. Step 5: Solve for x
    x = 514,803,380,004/335,097
  6. Step 6: Final answer
    x = 1,536,281.67

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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.