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Finding the Third Proportional to 262,593 and 572,712

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Solution

The third proportional to 262,593 and 572,712 is: 1,249,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,593 : 572,712 = 572,712 : x
  2. Step 2: Convert to fraction form
    262,593/572,712 = 572,712/x
  3. Step 3: Cross multiply
    262,593x = 572,712 × 572,712
  4. Step 4: Simplify right side
    262,593x = 327,999,034,944
  5. Step 5: Solve for x
    x = 327,999,034,944/262,593
  6. Step 6: Final answer
    x = 1,249,077.60

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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.