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Finding the Third Proportional to 566,101.50 and 909,016.50

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Solution

The third proportional to 566,101.50 and 909,016.50 is: 1,459,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,101.50 : 909,016.50 = 909,016.50 : x
  2. Step 2: Convert to fraction form
    566,101.50/909,016.50 = 909,016.50/x
  3. Step 3: Cross multiply
    566,101.50x = 909,016.50 × 909,016.50
  4. Step 4: Simplify right side
    566,101.50x = 826,310,997,272.25
  5. Step 5: Solve for x
    x = 826,310,997,272.25/566,101.50
  6. Step 6: Final answer
    x = 1,459,651.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.