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Finding the Third Proportional to 714,148 and 979,254

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Solution

The third proportional to 714,148 and 979,254 is: 1,342,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,148 : 979,254 = 979,254 : x
  2. Step 2: Convert to fraction form
    714,148/979,254 = 979,254/x
  3. Step 3: Cross multiply
    714,148x = 979,254 × 979,254
  4. Step 4: Simplify right side
    714,148x = 958,938,396,516
  5. Step 5: Solve for x
    x = 958,938,396,516/714,148
  6. Step 6: Final answer
    x = 1,342,772.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.