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Finding the Third Proportional to 208,602 and 455,658

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Solution

The third proportional to 208,602 and 455,658 is: 995,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,602 : 455,658 = 455,658 : x
  2. Step 2: Convert to fraction form
    208,602/455,658 = 455,658/x
  3. Step 3: Cross multiply
    208,602x = 455,658 × 455,658
  4. Step 4: Simplify right side
    208,602x = 207,624,212,964
  5. Step 5: Solve for x
    x = 207,624,212,964/208,602
  6. Step 6: Final answer
    x = 995,312.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.