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Finding the Third Proportional to 262,577.50 and 572,683

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Solution

The third proportional to 262,577.50 and 572,683 is: 1,249,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,577.50 : 572,683 = 572,683 : x
  2. Step 2: Convert to fraction form
    262,577.50/572,683 = 572,683/x
  3. Step 3: Cross multiply
    262,577.50x = 572,683 × 572,683
  4. Step 4: Simplify right side
    262,577.50x = 327,965,818,489
  5. Step 5: Solve for x
    x = 327,965,818,489/262,577.50
  6. Step 6: Final answer
    x = 1,249,024.83

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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.