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Finding the Third Proportional to 304,637.25 and 471,468

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Solution

The third proportional to 304,637.25 and 471,468 is: 729,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,637.25 : 471,468 = 471,468 : x
  2. Step 2: Convert to fraction form
    304,637.25/471,468 = 471,468/x
  3. Step 3: Cross multiply
    304,637.25x = 471,468 × 471,468
  4. Step 4: Simplify right side
    304,637.25x = 222,282,075,024
  5. Step 5: Solve for x
    x = 222,282,075,024/304,637.25
  6. Step 6: Final answer
    x = 729,661.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.