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Finding the Third Proportional to 463,894 and 718,288

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Solution

The third proportional to 463,894 and 718,288 is: 1,112,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,894 : 718,288 = 718,288 : x
  2. Step 2: Convert to fraction form
    463,894/718,288 = 718,288/x
  3. Step 3: Cross multiply
    463,894x = 718,288 × 718,288
  4. Step 4: Simplify right side
    463,894x = 515,937,650,944
  5. Step 5: Solve for x
    x = 515,937,650,944/463,894
  6. Step 6: Final answer
    x = 1,112,188.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.