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Finding the Third Proportional to 434,975.25 and 665,463

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Solution

The third proportional to 434,975.25 and 665,463 is: 1,018,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,975.25 : 665,463 = 665,463 : x
  2. Step 2: Convert to fraction form
    434,975.25/665,463 = 665,463/x
  3. Step 3: Cross multiply
    434,975.25x = 665,463 × 665,463
  4. Step 4: Simplify right side
    434,975.25x = 442,841,004,369
  5. Step 5: Solve for x
    x = 442,841,004,369/434,975.25
  6. Step 6: Final answer
    x = 1,018,083.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.