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Finding the Third Proportional to 282,770 and 609,813

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Solution

The third proportional to 282,770 and 609,813 is: 1,315,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,770 : 609,813 = 609,813 : x
  2. Step 2: Convert to fraction form
    282,770/609,813 = 609,813/x
  3. Step 3: Cross multiply
    282,770x = 609,813 × 609,813
  4. Step 4: Simplify right side
    282,770x = 371,871,894,969
  5. Step 5: Solve for x
    x = 371,871,894,969/282,770
  6. Step 6: Final answer
    x = 1,315,103.78

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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.