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Finding the Third Proportional to 374,213 and 798,178

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Solution

The third proportional to 374,213 and 798,178 is: 1,702,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,213 : 798,178 = 798,178 : x
  2. Step 2: Convert to fraction form
    374,213/798,178 = 798,178/x
  3. Step 3: Cross multiply
    374,213x = 798,178 × 798,178
  4. Step 4: Simplify right side
    374,213x = 637,088,119,684
  5. Step 5: Solve for x
    x = 637,088,119,684/374,213
  6. Step 6: Final answer
    x = 1,702,474.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.