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Finding the Third Proportional to 365,043 and 562,576.50

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Solution

The third proportional to 365,043 and 562,576.50 is: 867,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,043 : 562,576.50 = 562,576.50 : x
  2. Step 2: Convert to fraction form
    365,043/562,576.50 = 562,576.50/x
  3. Step 3: Cross multiply
    365,043x = 562,576.50 × 562,576.50
  4. Step 4: Simplify right side
    365,043x = 316,492,318,352.25
  5. Step 5: Solve for x
    x = 316,492,318,352.25/365,043
  6. Step 6: Final answer
    x = 867,000.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.