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Finding the Third Proportional to 583,383 and 899,964

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Solution

The third proportional to 583,383 and 899,964 is: 1,388,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,383 : 899,964 = 899,964 : x
  2. Step 2: Convert to fraction form
    583,383/899,964 = 899,964/x
  3. Step 3: Cross multiply
    583,383x = 899,964 × 899,964
  4. Step 4: Simplify right side
    583,383x = 809,935,201,296
  5. Step 5: Solve for x
    x = 809,935,201,296/583,383
  6. Step 6: Final answer
    x = 1,388,342.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.