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Finding the Third Proportional to 369,816 and 798,564

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Solution

The third proportional to 369,816 and 798,564 is: 1,724,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,816 : 798,564 = 798,564 : x
  2. Step 2: Convert to fraction form
    369,816/798,564 = 798,564/x
  3. Step 3: Cross multiply
    369,816x = 798,564 × 798,564
  4. Step 4: Simplify right side
    369,816x = 637,704,462,096
  5. Step 5: Solve for x
    x = 637,704,462,096/369,816
  6. Step 6: Final answer
    x = 1,724,383.10

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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.