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Finding the Third Proportional to 430,201 and 668,311.50

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Solution

The third proportional to 430,201 and 668,311.50 is: 1,038,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,201 : 668,311.50 = 668,311.50 : x
  2. Step 2: Convert to fraction form
    430,201/668,311.50 = 668,311.50/x
  3. Step 3: Cross multiply
    430,201x = 668,311.50 × 668,311.50
  4. Step 4: Simplify right side
    430,201x = 446,640,261,032.25
  5. Step 5: Solve for x
    x = 446,640,261,032.25/430,201
  6. Step 6: Final answer
    x = 1,038,212.98

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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.