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Finding the Third Proportional to 373,886 and 561,303

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Solution

The third proportional to 373,886 and 561,303 is: 842,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,886 : 561,303 = 561,303 : x
  2. Step 2: Convert to fraction form
    373,886/561,303 = 561,303/x
  3. Step 3: Cross multiply
    373,886x = 561,303 × 561,303
  4. Step 4: Simplify right side
    373,886x = 315,061,057,809
  5. Step 5: Solve for x
    x = 315,061,057,809/373,886
  6. Step 6: Final answer
    x = 842,666.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.