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Finding the Third Proportional to 407,776 and 882,752

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Solution

The third proportional to 407,776 and 882,752 is: 1,910,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,776 : 882,752 = 882,752 : x
  2. Step 2: Convert to fraction form
    407,776/882,752 = 882,752/x
  3. Step 3: Cross multiply
    407,776x = 882,752 × 882,752
  4. Step 4: Simplify right side
    407,776x = 779,251,093,504
  5. Step 5: Solve for x
    x = 779,251,093,504/407,776
  6. Step 6: Final answer
    x = 1,910,978.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.