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Finding the Third Proportional to 265,788.50 and 568,459

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Solution

The third proportional to 265,788.50 and 568,459 is: 1,215,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,788.50 : 568,459 = 568,459 : x
  2. Step 2: Convert to fraction form
    265,788.50/568,459 = 568,459/x
  3. Step 3: Cross multiply
    265,788.50x = 568,459 × 568,459
  4. Step 4: Simplify right side
    265,788.50x = 323,145,634,681
  5. Step 5: Solve for x
    x = 323,145,634,681/265,788.50
  6. Step 6: Final answer
    x = 1,215,799.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.