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Finding the Third Proportional to 373,594 and 810,692

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Solution

The third proportional to 373,594 and 810,692 is: 1,759,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,594 : 810,692 = 810,692 : x
  2. Step 2: Convert to fraction form
    373,594/810,692 = 810,692/x
  3. Step 3: Cross multiply
    373,594x = 810,692 × 810,692
  4. Step 4: Simplify right side
    373,594x = 657,221,518,864
  5. Step 5: Solve for x
    x = 657,221,518,864/373,594
  6. Step 6: Final answer
    x = 1,759,186.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.