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Finding the Third Proportional to 284,911 and 442,907

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Solution

The third proportional to 284,911 and 442,907 is: 688,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,911 : 442,907 = 442,907 : x
  2. Step 2: Convert to fraction form
    284,911/442,907 = 442,907/x
  3. Step 3: Cross multiply
    284,911x = 442,907 × 442,907
  4. Step 4: Simplify right side
    284,911x = 196,166,610,649
  5. Step 5: Solve for x
    x = 196,166,610,649/284,911
  6. Step 6: Final answer
    x = 688,518.91

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