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Finding the Third Proportional to 453,096 and 719,820

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Solution

The third proportional to 453,096 and 719,820 is: 1,143,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,096 : 719,820 = 719,820 : x
  2. Step 2: Convert to fraction form
    453,096/719,820 = 719,820/x
  3. Step 3: Cross multiply
    453,096x = 719,820 × 719,820
  4. Step 4: Simplify right side
    453,096x = 518,140,832,400
  5. Step 5: Solve for x
    x = 518,140,832,400/453,096
  6. Step 6: Final answer
    x = 1,143,556.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.