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Finding the Third Proportional to 573,792 and 885,370

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Solution

The third proportional to 573,792 and 885,370 is: 1,366,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,792 : 885,370 = 885,370 : x
  2. Step 2: Convert to fraction form
    573,792/885,370 = 885,370/x
  3. Step 3: Cross multiply
    573,792x = 885,370 × 885,370
  4. Step 4: Simplify right side
    573,792x = 783,880,036,900
  5. Step 5: Solve for x
    x = 783,880,036,900/573,792
  6. Step 6: Final answer
    x = 1,366,139.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.