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Finding the Third Proportional to 470,466.50 and 748,603.50

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Solution

The third proportional to 470,466.50 and 748,603.50 is: 1,191,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,466.50 : 748,603.50 = 748,603.50 : x
  2. Step 2: Convert to fraction form
    470,466.50/748,603.50 = 748,603.50/x
  3. Step 3: Cross multiply
    470,466.50x = 748,603.50 × 748,603.50
  4. Step 4: Simplify right side
    470,466.50x = 560,407,200,212.25
  5. Step 5: Solve for x
    x = 560,407,200,212.25/470,466.50
  6. Step 6: Final answer
    x = 1,191,173.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.