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Finding the Third Proportional to 262,582 and 572,692

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Solution

The third proportional to 262,582 and 572,692 is: 1,249,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,582 : 572,692 = 572,692 : x
  2. Step 2: Convert to fraction form
    262,582/572,692 = 572,692/x
  3. Step 3: Cross multiply
    262,582x = 572,692 × 572,692
  4. Step 4: Simplify right side
    262,582x = 327,976,126,864
  5. Step 5: Solve for x
    x = 327,976,126,864/262,582
  6. Step 6: Final answer
    x = 1,249,042.69

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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.