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Finding the Third Proportional to 535,260 and 733,964

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Solution

The third proportional to 535,260 and 733,964 is: 1,006,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,260 : 733,964 = 733,964 : x
  2. Step 2: Convert to fraction form
    535,260/733,964 = 733,964/x
  3. Step 3: Cross multiply
    535,260x = 733,964 × 733,964
  4. Step 4: Simplify right side
    535,260x = 538,703,153,296
  5. Step 5: Solve for x
    x = 538,703,153,296/535,260
  6. Step 6: Final answer
    x = 1,006,432.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.