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Finding the Third Proportional to 453,095 and 719,819

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Solution

The third proportional to 453,095 and 719,819 is: 1,143,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,095 : 719,819 = 719,819 : x
  2. Step 2: Convert to fraction form
    453,095/719,819 = 719,819/x
  3. Step 3: Cross multiply
    453,095x = 719,819 × 719,819
  4. Step 4: Simplify right side
    453,095x = 518,139,392,761
  5. Step 5: Solve for x
    x = 518,139,392,761/453,095
  6. Step 6: Final answer
    x = 1,143,555.75

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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.