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Finding the Third Proportional to 262,430 and 563,074

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Solution

The third proportional to 262,430 and 563,074 is: 1,208,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,430 : 563,074 = 563,074 : x
  2. Step 2: Convert to fraction form
    262,430/563,074 = 563,074/x
  3. Step 3: Cross multiply
    262,430x = 563,074 × 563,074
  4. Step 4: Simplify right side
    262,430x = 317,052,329,476
  5. Step 5: Solve for x
    x = 317,052,329,476/262,430
  6. Step 6: Final answer
    x = 1,208,140.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.