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Finding the Third Proportional to 292,467 and 637,818

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Solution

The third proportional to 292,467 and 637,818 is: 1,390,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,467 : 637,818 = 637,818 : x
  2. Step 2: Convert to fraction form
    292,467/637,818 = 637,818/x
  3. Step 3: Cross multiply
    292,467x = 637,818 × 637,818
  4. Step 4: Simplify right side
    292,467x = 406,811,801,124
  5. Step 5: Solve for x
    x = 406,811,801,124/292,467
  6. Step 6: Final answer
    x = 1,390,966.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.