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Finding the Third Proportional to 303,582 and 653,086

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Solution

The third proportional to 303,582 and 653,086 is: 1,404,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,582 : 653,086 = 653,086 : x
  2. Step 2: Convert to fraction form
    303,582/653,086 = 653,086/x
  3. Step 3: Cross multiply
    303,582x = 653,086 × 653,086
  4. Step 4: Simplify right side
    303,582x = 426,521,323,396
  5. Step 5: Solve for x
    x = 426,521,323,396/303,582
  6. Step 6: Final answer
    x = 1,404,962.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.