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Finding the Third Proportional to 293,248 and 653,888

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Solution

The third proportional to 293,248 and 653,888 is: 1,458,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,248 : 653,888 = 653,888 : x
  2. Step 2: Convert to fraction form
    293,248/653,888 = 653,888/x
  3. Step 3: Cross multiply
    293,248x = 653,888 × 653,888
  4. Step 4: Simplify right side
    293,248x = 427,569,516,544
  5. Step 5: Solve for x
    x = 427,569,516,544/293,248
  6. Step 6: Final answer
    x = 1,458,047.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.