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Finding the Third Proportional to 233,911 and 362,043.50

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Solution

The third proportional to 233,911 and 362,043.50 is: 560,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,911 : 362,043.50 = 362,043.50 : x
  2. Step 2: Convert to fraction form
    233,911/362,043.50 = 362,043.50/x
  3. Step 3: Cross multiply
    233,911x = 362,043.50 × 362,043.50
  4. Step 4: Simplify right side
    233,911x = 131,075,495,892.25
  5. Step 5: Solve for x
    x = 131,075,495,892.25/233,911
  6. Step 6: Final answer
    x = 560,364.82

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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.