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Finding the Third Proportional to 234,045.75 and 552,307.50

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Solution

The third proportional to 234,045.75 and 552,307.50 is: 1,303,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,045.75 : 552,307.50 = 552,307.50 : x
  2. Step 2: Convert to fraction form
    234,045.75/552,307.50 = 552,307.50/x
  3. Step 3: Cross multiply
    234,045.75x = 552,307.50 × 552,307.50
  4. Step 4: Simplify right side
    234,045.75x = 305,043,574,556.25
  5. Step 5: Solve for x
    x = 305,043,574,556.25/234,045.75
  6. Step 6: Final answer
    x = 1,303,350.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.