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Finding the Third Proportional to 207,490 and 455,152

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Solution

The third proportional to 207,490 and 455,152 is: 998,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,490 : 455,152 = 455,152 : x
  2. Step 2: Convert to fraction form
    207,490/455,152 = 455,152/x
  3. Step 3: Cross multiply
    207,490x = 455,152 × 455,152
  4. Step 4: Simplify right side
    207,490x = 207,163,343,104
  5. Step 5: Solve for x
    x = 207,163,343,104/207,490
  6. Step 6: Final answer
    x = 998,425.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.