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Finding the Third Proportional to 282,762 and 609,818

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Solution

The third proportional to 282,762 and 609,818 is: 1,315,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,762 : 609,818 = 609,818 : x
  2. Step 2: Convert to fraction form
    282,762/609,818 = 609,818/x
  3. Step 3: Cross multiply
    282,762x = 609,818 × 609,818
  4. Step 4: Simplify right side
    282,762x = 371,877,993,124
  5. Step 5: Solve for x
    x = 371,877,993,124/282,762
  6. Step 6: Final answer
    x = 1,315,162.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.