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Finding the Third Proportional to 369,570 and 557,683

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Solution

The third proportional to 369,570 and 557,683 is: 841,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,570 : 557,683 = 557,683 : x
  2. Step 2: Convert to fraction form
    369,570/557,683 = 557,683/x
  3. Step 3: Cross multiply
    369,570x = 557,683 × 557,683
  4. Step 4: Simplify right side
    369,570x = 311,010,328,489
  5. Step 5: Solve for x
    x = 311,010,328,489/369,570
  6. Step 6: Final answer
    x = 841,546.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.