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Finding the Third Proportional to 295,082 and 455,643

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Solution

The third proportional to 295,082 and 455,643 is: 703,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,082 : 455,643 = 455,643 : x
  2. Step 2: Convert to fraction form
    295,082/455,643 = 455,643/x
  3. Step 3: Cross multiply
    295,082x = 455,643 × 455,643
  4. Step 4: Simplify right side
    295,082x = 207,610,543,449
  5. Step 5: Solve for x
    x = 207,610,543,449/295,082
  6. Step 6: Final answer
    x = 703,568.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.