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Finding the Third Proportional to 698,746.50 and 1,529,806.50

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Solution

The third proportional to 698,746.50 and 1,529,806.50 is: 3,349,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,746.50 : 1,529,806.50 = 1,529,806.50 : x
  2. Step 2: Convert to fraction form
    698,746.50/1,529,806.50 = 1,529,806.50/x
  3. Step 3: Cross multiply
    698,746.50x = 1,529,806.50 × 1,529,806.50
  4. Step 4: Simplify right side
    698,746.50x = 2,340,307,927,442.25
  5. Step 5: Solve for x
    x = 2,340,307,927,442.25/698,746.50
  6. Step 6: Final answer
    x = 3,349,294.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.