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Finding the Third Proportional to 354,890 and 774,013.50

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Solution

The third proportional to 354,890 and 774,013.50 is: 1,688,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,890 : 774,013.50 = 774,013.50 : x
  2. Step 2: Convert to fraction form
    354,890/774,013.50 = 774,013.50/x
  3. Step 3: Cross multiply
    354,890x = 774,013.50 × 774,013.50
  4. Step 4: Simplify right side
    354,890x = 599,096,898,182.25
  5. Step 5: Solve for x
    x = 599,096,898,182.25/354,890
  6. Step 6: Final answer
    x = 1,688,119.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.