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Finding the Third Proportional to 673,516.50 and 1,066,291.50

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Solution

The third proportional to 673,516.50 and 1,066,291.50 is: 1,688,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,516.50 : 1,066,291.50 = 1,066,291.50 : x
  2. Step 2: Convert to fraction form
    673,516.50/1,066,291.50 = 1,066,291.50/x
  3. Step 3: Cross multiply
    673,516.50x = 1,066,291.50 × 1,066,291.50
  4. Step 4: Simplify right side
    673,516.50x = 1,136,977,562,972.25
  5. Step 5: Solve for x
    x = 1,136,977,562,972.25/673,516.50
  6. Step 6: Final answer
    x = 1,688,121.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.