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Finding the Third Proportional to 282,801 and 585,294

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Solution

The third proportional to 282,801 and 585,294 is: 1,211,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,801 : 585,294 = 585,294 : x
  2. Step 2: Convert to fraction form
    282,801/585,294 = 585,294/x
  3. Step 3: Cross multiply
    282,801x = 585,294 × 585,294
  4. Step 4: Simplify right side
    282,801x = 342,569,066,436
  5. Step 5: Solve for x
    x = 342,569,066,436/282,801
  6. Step 6: Final answer
    x = 1,211,343.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.