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Finding the Third Proportional to 370,314 and 560,664

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Solution

The third proportional to 370,314 and 560,664 is: 848,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,314 : 560,664 = 560,664 : x
  2. Step 2: Convert to fraction form
    370,314/560,664 = 560,664/x
  3. Step 3: Cross multiply
    370,314x = 560,664 × 560,664
  4. Step 4: Simplify right side
    370,314x = 314,344,120,896
  5. Step 5: Solve for x
    x = 314,344,120,896/370,314
  6. Step 6: Final answer
    x = 848,858.32

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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.