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Finding the Third Proportional to 314,010 and 680,148

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Solution

The third proportional to 314,010 and 680,148 is: 1,473,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,010 : 680,148 = 680,148 : x
  2. Step 2: Convert to fraction form
    314,010/680,148 = 680,148/x
  3. Step 3: Cross multiply
    314,010x = 680,148 × 680,148
  4. Step 4: Simplify right side
    314,010x = 462,601,301,904
  5. Step 5: Solve for x
    x = 462,601,301,904/314,010
  6. Step 6: Final answer
    x = 1,473,205.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.