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Finding the Third Proportional to 293,994 and 637,776

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Solution

The third proportional to 293,994 and 637,776 is: 1,383,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,994 : 637,776 = 637,776 : x
  2. Step 2: Convert to fraction form
    293,994/637,776 = 637,776/x
  3. Step 3: Cross multiply
    293,994x = 637,776 × 637,776
  4. Step 4: Simplify right side
    293,994x = 406,758,226,176
  5. Step 5: Solve for x
    x = 406,758,226,176/293,994
  6. Step 6: Final answer
    x = 1,383,559.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.