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Finding the Third Proportional to 315,887 and 745,702

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Solution

The third proportional to 315,887 and 745,702 is: 1,760,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,887 : 745,702 = 745,702 : x
  2. Step 2: Convert to fraction form
    315,887/745,702 = 745,702/x
  3. Step 3: Cross multiply
    315,887x = 745,702 × 745,702
  4. Step 4: Simplify right side
    315,887x = 556,071,472,804
  5. Step 5: Solve for x
    x = 556,071,472,804/315,887
  6. Step 6: Final answer
    x = 1,760,349.34

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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.