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Finding the Third Proportional to 403,152 and 882,912

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Solution

The third proportional to 403,152 and 882,912 is: 1,933,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,152 : 882,912 = 882,912 : x
  2. Step 2: Convert to fraction form
    403,152/882,912 = 882,912/x
  3. Step 3: Cross multiply
    403,152x = 882,912 × 882,912
  4. Step 4: Simplify right side
    403,152x = 779,533,599,744
  5. Step 5: Solve for x
    x = 779,533,599,744/403,152
  6. Step 6: Final answer
    x = 1,933,597.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.