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Finding the Third Proportional to 243,578 and 531,306.50

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Solution

The third proportional to 243,578 and 531,306.50 is: 1,158,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,578 : 531,306.50 = 531,306.50 : x
  2. Step 2: Convert to fraction form
    243,578/531,306.50 = 531,306.50/x
  3. Step 3: Cross multiply
    243,578x = 531,306.50 × 531,306.50
  4. Step 4: Simplify right side
    243,578x = 282,286,596,942.25
  5. Step 5: Solve for x
    x = 282,286,596,942.25/243,578
  6. Step 6: Final answer
    x = 1,158,916.64

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Why These Related Problems?

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