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Finding the Third Proportional to 282,804 and 609,888

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Solution

The third proportional to 282,804 and 609,888 is: 1,315,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,804 : 609,888 = 609,888 : x
  2. Step 2: Convert to fraction form
    282,804/609,888 = 609,888/x
  3. Step 3: Cross multiply
    282,804x = 609,888 × 609,888
  4. Step 4: Simplify right side
    282,804x = 371,963,372,544
  5. Step 5: Solve for x
    x = 371,963,372,544/282,804
  6. Step 6: Final answer
    x = 1,315,269.14

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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.