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Finding the Third Proportional to 191,947 and 417,929

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Solution

The third proportional to 191,947 and 417,929 is: 909,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,947 : 417,929 = 417,929 : x
  2. Step 2: Convert to fraction form
    191,947/417,929 = 417,929/x
  3. Step 3: Cross multiply
    191,947x = 417,929 × 417,929
  4. Step 4: Simplify right side
    191,947x = 174,664,649,041
  5. Step 5: Solve for x
    x = 174,664,649,041/191,947
  6. Step 6: Final answer
    x = 909,962.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.