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Finding the Third Proportional to 453,070 and 719,782

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Solution

The third proportional to 453,070 and 719,782 is: 1,143,501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,070 : 719,782 = 719,782 : x
  2. Step 2: Convert to fraction form
    453,070/719,782 = 719,782/x
  3. Step 3: Cross multiply
    453,070x = 719,782 × 719,782
  4. Step 4: Simplify right side
    453,070x = 518,086,127,524
  5. Step 5: Solve for x
    x = 518,086,127,524/453,070
  6. Step 6: Final answer
    x = 1,143,501.29

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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.