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Finding the Third Proportional to 315,888 and 745,704

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Solution

The third proportional to 315,888 and 745,704 is: 1,760,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,888 : 745,704 = 745,704 : x
  2. Step 2: Convert to fraction form
    315,888/745,704 = 745,704/x
  3. Step 3: Cross multiply
    315,888x = 745,704 × 745,704
  4. Step 4: Simplify right side
    315,888x = 556,074,455,616
  5. Step 5: Solve for x
    x = 556,074,455,616/315,888
  6. Step 6: Final answer
    x = 1,760,353.21

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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.