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Finding the Third Proportional to 262,281 and 574,998

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Solution

The third proportional to 262,281 and 574,998 is: 1,260,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,281 : 574,998 = 574,998 : x
  2. Step 2: Convert to fraction form
    262,281/574,998 = 574,998/x
  3. Step 3: Cross multiply
    262,281x = 574,998 × 574,998
  4. Step 4: Simplify right side
    262,281x = 330,622,700,004
  5. Step 5: Solve for x
    x = 330,622,700,004/262,281
  6. Step 6: Final answer
    x = 1,260,566.72

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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.