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Finding the Third Proportional to 504,174 and 781,048.50

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Solution

The third proportional to 504,174 and 781,048.50 is: 1,209,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,174 : 781,048.50 = 781,048.50 : x
  2. Step 2: Convert to fraction form
    504,174/781,048.50 = 781,048.50/x
  3. Step 3: Cross multiply
    504,174x = 781,048.50 × 781,048.50
  4. Step 4: Simplify right side
    504,174x = 610,036,759,352.25
  5. Step 5: Solve for x
    x = 610,036,759,352.25/504,174
  6. Step 6: Final answer
    x = 1,209,972.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.