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Finding the Third Proportional to 824,697.50 and 1,276,950.50

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Solution

The third proportional to 824,697.50 and 1,276,950.50 is: 1,977,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,697.50 : 1,276,950.50 = 1,276,950.50 : x
  2. Step 2: Convert to fraction form
    824,697.50/1,276,950.50 = 1,276,950.50/x
  3. Step 3: Cross multiply
    824,697.50x = 1,276,950.50 × 1,276,950.50
  4. Step 4: Simplify right side
    824,697.50x = 1,630,602,579,450.25
  5. Step 5: Solve for x
    x = 1,630,602,579,450.25/824,697.50
  6. Step 6: Final answer
    x = 1,977,212.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.