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Finding the Third Proportional to 262,283 and 575,002

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Solution

The third proportional to 262,283 and 575,002 is: 1,260,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,283 : 575,002 = 575,002 : x
  2. Step 2: Convert to fraction form
    262,283/575,002 = 575,002/x
  3. Step 3: Cross multiply
    262,283x = 575,002 × 575,002
  4. Step 4: Simplify right side
    262,283x = 330,627,300,004
  5. Step 5: Solve for x
    x = 330,627,300,004/262,283
  6. Step 6: Final answer
    x = 1,260,574.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.