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Finding the Third Proportional to 262,240 and 575,024

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Solution

The third proportional to 262,240 and 575,024 is: 1,260,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,240 : 575,024 = 575,024 : x
  2. Step 2: Convert to fraction form
    262,240/575,024 = 575,024/x
  3. Step 3: Cross multiply
    262,240x = 575,024 × 575,024
  4. Step 4: Simplify right side
    262,240x = 330,652,600,576
  5. Step 5: Solve for x
    x = 330,652,600,576/262,240
  6. Step 6: Final answer
    x = 1,260,877.82

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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.