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Finding the Third Proportional to 291,273 and 393,528.50

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Solution

The third proportional to 291,273 and 393,528.50 is: 531,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,273 : 393,528.50 = 393,528.50 : x
  2. Step 2: Convert to fraction form
    291,273/393,528.50 = 393,528.50/x
  3. Step 3: Cross multiply
    291,273x = 393,528.50 × 393,528.50
  4. Step 4: Simplify right side
    291,273x = 154,864,680,312.25
  5. Step 5: Solve for x
    x = 154,864,680,312.25/291,273
  6. Step 6: Final answer
    x = 531,682.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.