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Finding the Third Proportional to 286,875 and 606,582

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Solution

The third proportional to 286,875 and 606,582 is: 1,282,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,875 : 606,582 = 606,582 : x
  2. Step 2: Convert to fraction form
    286,875/606,582 = 606,582/x
  3. Step 3: Cross multiply
    286,875x = 606,582 × 606,582
  4. Step 4: Simplify right side
    286,875x = 367,941,722,724
  5. Step 5: Solve for x
    x = 367,941,722,724/286,875
  6. Step 6: Final answer
    x = 1,282,585.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.