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Finding the Third Proportional to 189,594 and 402,516

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Solution

The third proportional to 189,594 and 402,516 is: 854,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,594 : 402,516 = 402,516 : x
  2. Step 2: Convert to fraction form
    189,594/402,516 = 402,516/x
  3. Step 3: Cross multiply
    189,594x = 402,516 × 402,516
  4. Step 4: Simplify right side
    189,594x = 162,019,130,256
  5. Step 5: Solve for x
    x = 162,019,130,256/189,594
  6. Step 6: Final answer
    x = 854,558.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.