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Finding the Third Proportional to 290,448 and 607,032

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Solution

The third proportional to 290,448 and 607,032 is: 1,268,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,448 : 607,032 = 607,032 : x
  2. Step 2: Convert to fraction form
    290,448/607,032 = 607,032/x
  3. Step 3: Cross multiply
    290,448x = 607,032 × 607,032
  4. Step 4: Simplify right side
    290,448x = 368,487,849,024
  5. Step 5: Solve for x
    x = 368,487,849,024/290,448
  6. Step 6: Final answer
    x = 1,268,687.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.