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Finding the Third Proportional to 373,178 and 562,458

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Solution

The third proportional to 373,178 and 562,458 is: 847,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,178 : 562,458 = 562,458 : x
  2. Step 2: Convert to fraction form
    373,178/562,458 = 562,458/x
  3. Step 3: Cross multiply
    373,178x = 562,458 × 562,458
  4. Step 4: Simplify right side
    373,178x = 316,359,001,764
  5. Step 5: Solve for x
    x = 316,359,001,764/373,178
  6. Step 6: Final answer
    x = 847,742.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.