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Finding the Third Proportional to 262,807 and 575,185

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Solution

The third proportional to 262,807 and 575,185 is: 1,258,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,807 : 575,185 = 575,185 : x
  2. Step 2: Convert to fraction form
    262,807/575,185 = 575,185/x
  3. Step 3: Cross multiply
    262,807x = 575,185 × 575,185
  4. Step 4: Simplify right side
    262,807x = 330,837,784,225
  5. Step 5: Solve for x
    x = 330,837,784,225/262,807
  6. Step 6: Final answer
    x = 1,258,862.15

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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.