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Finding the Third Proportional to 460,956 and 723,104.25

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Solution

The third proportional to 460,956 and 723,104.25 is: 1,134,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,956 : 723,104.25 = 723,104.25 : x
  2. Step 2: Convert to fraction form
    460,956/723,104.25 = 723,104.25/x
  3. Step 3: Cross multiply
    460,956x = 723,104.25 × 723,104.25
  4. Step 4: Simplify right side
    460,956x = 522,879,756,368.06
  5. Step 5: Solve for x
    x = 522,879,756,368.06/460,956
  6. Step 6: Final answer
    x = 1,134,337.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.