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Finding the Third Proportional to 366,461 and 560,590

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Solution

The third proportional to 366,461 and 560,590 is: 857,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,461 : 560,590 = 560,590 : x
  2. Step 2: Convert to fraction form
    366,461/560,590 = 560,590/x
  3. Step 3: Cross multiply
    366,461x = 560,590 × 560,590
  4. Step 4: Simplify right side
    366,461x = 314,261,148,100
  5. Step 5: Solve for x
    x = 314,261,148,100/366,461
  6. Step 6: Final answer
    x = 857,556.87

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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.