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Finding the Third Proportional to 282,829 and 609,935

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Solution

The third proportional to 282,829 and 609,935 is: 1,315,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,829 : 609,935 = 609,935 : x
  2. Step 2: Convert to fraction form
    282,829/609,935 = 609,935/x
  3. Step 3: Cross multiply
    282,829x = 609,935 × 609,935
  4. Step 4: Simplify right side
    282,829x = 372,020,704,225
  5. Step 5: Solve for x
    x = 372,020,704,225/282,829
  6. Step 6: Final answer
    x = 1,315,355.58

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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.