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Finding the Third Proportional to 370,402 and 560,766

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Solution

The third proportional to 370,402 and 560,766 is: 848,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,402 : 560,766 = 560,766 : x
  2. Step 2: Convert to fraction form
    370,402/560,766 = 560,766/x
  3. Step 3: Cross multiply
    370,402x = 560,766 × 560,766
  4. Step 4: Simplify right side
    370,402x = 314,458,506,756
  5. Step 5: Solve for x
    x = 314,458,506,756/370,402
  6. Step 6: Final answer
    x = 848,965.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.