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Finding the Third Proportional to 347,562 and 758,988

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Solution

The third proportional to 347,562 and 758,988 is: 1,657,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,562 : 758,988 = 758,988 : x
  2. Step 2: Convert to fraction form
    347,562/758,988 = 758,988/x
  3. Step 3: Cross multiply
    347,562x = 758,988 × 758,988
  4. Step 4: Simplify right side
    347,562x = 576,062,784,144
  5. Step 5: Solve for x
    x = 576,062,784,144/347,562
  6. Step 6: Final answer
    x = 1,657,438.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.