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Finding the Third Proportional to 287,114.63 and 618,105.38

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Solution

The third proportional to 287,114.63 and 618,105.38 is: 1,330,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,114.63 : 618,105.38 = 618,105.38 : x
  2. Step 2: Convert to fraction form
    287,114.63/618,105.38 = 618,105.38/x
  3. Step 3: Cross multiply
    287,114.63x = 618,105.38 × 618,105.38
  4. Step 4: Simplify right side
    287,114.63x = 382,054,254,603.89
  5. Step 5: Solve for x
    x = 382,054,254,603.89/287,114.63
  6. Step 6: Final answer
    x = 1,330,668.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.