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Finding the Third Proportional to 262,579 and 572,686

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Solution

The third proportional to 262,579 and 572,686 is: 1,249,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,579 : 572,686 = 572,686 : x
  2. Step 2: Convert to fraction form
    262,579/572,686 = 572,686/x
  3. Step 3: Cross multiply
    262,579x = 572,686 × 572,686
  4. Step 4: Simplify right side
    262,579x = 327,969,254,596
  5. Step 5: Solve for x
    x = 327,969,254,596/262,579
  6. Step 6: Final answer
    x = 1,249,030.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.