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Finding the Third Proportional to 309,546.98 and 462,897.28

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Solution

The third proportional to 309,546.98 and 462,897.28 is: 692,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,546.98 : 462,897.28 = 462,897.28 : x
  2. Step 2: Convert to fraction form
    309,546.98/462,897.28 = 462,897.28/x
  3. Step 3: Cross multiply
    309,546.98x = 462,897.28 × 462,897.28
  4. Step 4: Simplify right side
    309,546.98x = 214,273,892,988.64
  5. Step 5: Solve for x
    x = 214,273,892,988.64/309,546.98
  6. Step 6: Final answer
    x = 692,217.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.