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Finding the Third Proportional to 407,322 and 882,441

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Solution

The third proportional to 407,322 and 882,441 is: 1,911,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,322 : 882,441 = 882,441 : x
  2. Step 2: Convert to fraction form
    407,322/882,441 = 882,441/x
  3. Step 3: Cross multiply
    407,322x = 882,441 × 882,441
  4. Step 4: Simplify right side
    407,322x = 778,702,118,481
  5. Step 5: Solve for x
    x = 778,702,118,481/407,322
  6. Step 6: Final answer
    x = 1,911,760.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.