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Finding the Third Proportional to 470,407.50 and 1,030,887

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Solution

The third proportional to 470,407.50 and 1,030,887 is: 2,259,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,407.50 : 1,030,887 = 1,030,887 : x
  2. Step 2: Convert to fraction form
    470,407.50/1,030,887 = 1,030,887/x
  3. Step 3: Cross multiply
    470,407.50x = 1,030,887 × 1,030,887
  4. Step 4: Simplify right side
    470,407.50x = 1,062,728,006,769
  5. Step 5: Solve for x
    x = 1,062,728,006,769/470,407.50
  6. Step 6: Final answer
    x = 2,259,164.67

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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.