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Finding the Third Proportional to 350,893.50 and 714,501

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Solution

The third proportional to 350,893.50 and 714,501 is: 1,454,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,893.50 : 714,501 = 714,501 : x
  2. Step 2: Convert to fraction form
    350,893.50/714,501 = 714,501/x
  3. Step 3: Cross multiply
    350,893.50x = 714,501 × 714,501
  4. Step 4: Simplify right side
    350,893.50x = 510,511,679,001
  5. Step 5: Solve for x
    x = 510,511,679,001/350,893.50
  6. Step 6: Final answer
    x = 1,454,890.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.