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Finding the Third Proportional to 315,889 and 745,707

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Solution

The third proportional to 315,889 and 745,707 is: 1,760,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,889 : 745,707 = 745,707 : x
  2. Step 2: Convert to fraction form
    315,889/745,707 = 745,707/x
  3. Step 3: Cross multiply
    315,889x = 745,707 × 745,707
  4. Step 4: Simplify right side
    315,889x = 556,078,929,849
  5. Step 5: Solve for x
    x = 556,078,929,849/315,889
  6. Step 6: Final answer
    x = 1,760,361.80

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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.