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Finding the Third Proportional to 314,116 and 697,928

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Solution

The third proportional to 314,116 and 697,928 is: 1,550,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,116 : 697,928 = 697,928 : x
  2. Step 2: Convert to fraction form
    314,116/697,928 = 697,928/x
  3. Step 3: Cross multiply
    314,116x = 697,928 × 697,928
  4. Step 4: Simplify right side
    314,116x = 487,103,493,184
  5. Step 5: Solve for x
    x = 487,103,493,184/314,116
  6. Step 6: Final answer
    x = 1,550,712.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.