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Finding the Third Proportional to 262,596 and 572,718

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Solution

The third proportional to 262,596 and 572,718 is: 1,249,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,596 : 572,718 = 572,718 : x
  2. Step 2: Convert to fraction form
    262,596/572,718 = 572,718/x
  3. Step 3: Cross multiply
    262,596x = 572,718 × 572,718
  4. Step 4: Simplify right side
    262,596x = 328,005,907,524
  5. Step 5: Solve for x
    x = 328,005,907,524/262,596
  6. Step 6: Final answer
    x = 1,249,089.50

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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.