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Finding the Third Proportional to 824,536.50 and 1,261,325.63

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Solution

The third proportional to 824,536.50 and 1,261,325.63 is: 1,929,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,536.50 : 1,261,325.63 = 1,261,325.63 : x
  2. Step 2: Convert to fraction form
    824,536.50/1,261,325.63 = 1,261,325.63/x
  3. Step 3: Cross multiply
    824,536.50x = 1,261,325.63 × 1,261,325.63
  4. Step 4: Simplify right side
    824,536.50x = 1,590,942,332,281.64
  5. Step 5: Solve for x
    x = 1,590,942,332,281.64/824,536.50
  6. Step 6: Final answer
    x = 1,929,498.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.