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Finding the Third Proportional to 315,896 and 745,720

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Solution

The third proportional to 315,896 and 745,720 is: 1,760,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,896 : 745,720 = 745,720 : x
  2. Step 2: Convert to fraction form
    315,896/745,720 = 745,720/x
  3. Step 3: Cross multiply
    315,896x = 745,720 × 745,720
  4. Step 4: Simplify right side
    315,896x = 556,098,318,400
  5. Step 5: Solve for x
    x = 556,098,318,400/315,896
  6. Step 6: Final answer
    x = 1,760,384.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.