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Finding the Third Proportional to 328,899 and 702,726

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Solution

The third proportional to 328,899 and 702,726 is: 1,501,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,899 : 702,726 = 702,726 : x
  2. Step 2: Convert to fraction form
    328,899/702,726 = 702,726/x
  3. Step 3: Cross multiply
    328,899x = 702,726 × 702,726
  4. Step 4: Simplify right side
    328,899x = 493,823,831,076
  5. Step 5: Solve for x
    x = 493,823,831,076/328,899
  6. Step 6: Final answer
    x = 1,501,445.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.