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Finding the Third Proportional to 535,851 and 729,715.50

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Solution

The third proportional to 535,851 and 729,715.50 is: 993,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,851 : 729,715.50 = 729,715.50 : x
  2. Step 2: Convert to fraction form
    535,851/729,715.50 = 729,715.50/x
  3. Step 3: Cross multiply
    535,851x = 729,715.50 × 729,715.50
  4. Step 4: Simplify right side
    535,851x = 532,484,710,940.25
  5. Step 5: Solve for x
    x = 532,484,710,940.25/535,851
  6. Step 6: Final answer
    x = 993,717.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.