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Finding the Third Proportional to 535,815 and 729,688.50

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Solution

The third proportional to 535,815 and 729,688.50 is: 993,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,815 : 729,688.50 = 729,688.50 : x
  2. Step 2: Convert to fraction form
    535,815/729,688.50 = 729,688.50/x
  3. Step 3: Cross multiply
    535,815x = 729,688.50 × 729,688.50
  4. Step 4: Simplify right side
    535,815x = 532,445,307,032.25
  5. Step 5: Solve for x
    x = 532,445,307,032.25/535,815
  6. Step 6: Final answer
    x = 993,711.09

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