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Finding the Third Proportional to 294,160 and 622,988

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Solution

The third proportional to 294,160 and 622,988 is: 1,319,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,160 : 622,988 = 622,988 : x
  2. Step 2: Convert to fraction form
    294,160/622,988 = 622,988/x
  3. Step 3: Cross multiply
    294,160x = 622,988 × 622,988
  4. Step 4: Simplify right side
    294,160x = 388,114,048,144
  5. Step 5: Solve for x
    x = 388,114,048,144/294,160
  6. Step 6: Final answer
    x = 1,319,397.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.