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Finding the Third Proportional to 370,316 and 560,667

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Solution

The third proportional to 370,316 and 560,667 is: 848,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,316 : 560,667 = 560,667 : x
  2. Step 2: Convert to fraction form
    370,316/560,667 = 560,667/x
  3. Step 3: Cross multiply
    370,316x = 560,667 × 560,667
  4. Step 4: Simplify right side
    370,316x = 314,347,484,889
  5. Step 5: Solve for x
    x = 314,347,484,889/370,316
  6. Step 6: Final answer
    x = 848,862.82

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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.