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Finding the Third Proportional to 369,981 and 585,306

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Solution

The third proportional to 369,981 and 585,306 is: 925,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,981 : 585,306 = 585,306 : x
  2. Step 2: Convert to fraction form
    369,981/585,306 = 585,306/x
  3. Step 3: Cross multiply
    369,981x = 585,306 × 585,306
  4. Step 4: Simplify right side
    369,981x = 342,583,113,636
  5. Step 5: Solve for x
    x = 342,583,113,636/369,981
  6. Step 6: Final answer
    x = 925,947.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.