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Finding the Third Proportional to 473,607 and 729,093

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Solution

The third proportional to 473,607 and 729,093 is: 1,122,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,607 : 729,093 = 729,093 : x
  2. Step 2: Convert to fraction form
    473,607/729,093 = 729,093/x
  3. Step 3: Cross multiply
    473,607x = 729,093 × 729,093
  4. Step 4: Simplify right side
    473,607x = 531,576,602,649
  5. Step 5: Solve for x
    x = 531,576,602,649/473,607
  6. Step 6: Final answer
    x = 1,122,400.22

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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.