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Finding the Third Proportional to 328,027 and 535,643

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Solution

The third proportional to 328,027 and 535,643 is: 874,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,027 : 535,643 = 535,643 : x
  2. Step 2: Convert to fraction form
    328,027/535,643 = 535,643/x
  3. Step 3: Cross multiply
    328,027x = 535,643 × 535,643
  4. Step 4: Simplify right side
    328,027x = 286,913,423,449
  5. Step 5: Solve for x
    x = 286,913,423,449/328,027
  6. Step 6: Final answer
    x = 874,664.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.