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Finding the Third Proportional to 294,796 and 692,948

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Solution

The third proportional to 294,796 and 692,948 is: 1,628,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,796 : 692,948 = 692,948 : x
  2. Step 2: Convert to fraction form
    294,796/692,948 = 692,948/x
  3. Step 3: Cross multiply
    294,796x = 692,948 × 692,948
  4. Step 4: Simplify right side
    294,796x = 480,176,930,704
  5. Step 5: Solve for x
    x = 480,176,930,704/294,796
  6. Step 6: Final answer
    x = 1,628,844.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.