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Finding the Third Proportional to 651,942.42 and 997,294.78

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Solution

The third proportional to 651,942.42 and 997,294.78 is: 1,525,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,942.42 : 997,294.78 = 997,294.78 : x
  2. Step 2: Convert to fraction form
    651,942.42/997,294.78 = 997,294.78/x
  3. Step 3: Cross multiply
    651,942.42x = 997,294.78 × 997,294.78
  4. Step 4: Simplify right side
    651,942.42x = 994,596,880,708.49
  5. Step 5: Solve for x
    x = 994,596,880,708.49/651,942.42
  6. Step 6: Final answer
    x = 1,525,590.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.