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Finding the Third Proportional to 252,266 and 374,804

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Solution

The third proportional to 252,266 and 374,804 is: 556,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,266 : 374,804 = 374,804 : x
  2. Step 2: Convert to fraction form
    252,266/374,804 = 374,804/x
  3. Step 3: Cross multiply
    252,266x = 374,804 × 374,804
  4. Step 4: Simplify right side
    252,266x = 140,478,038,416
  5. Step 5: Solve for x
    x = 140,478,038,416/252,266
  6. Step 6: Final answer
    x = 556,864.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.