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Finding the Third Proportional to 435,324 and 910,008

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Solution

The third proportional to 435,324 and 910,008 is: 1,902,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,324 : 910,008 = 910,008 : x
  2. Step 2: Convert to fraction form
    435,324/910,008 = 910,008/x
  3. Step 3: Cross multiply
    435,324x = 910,008 × 910,008
  4. Step 4: Simplify right side
    435,324x = 828,114,560,064
  5. Step 5: Solve for x
    x = 828,114,560,064/435,324
  6. Step 6: Final answer
    x = 1,902,294.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.