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Finding the Third Proportional to 282,686.63 and 437,153.63

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Solution

The third proportional to 282,686.63 and 437,153.63 is: 676,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,686.63 : 437,153.63 = 437,153.63 : x
  2. Step 2: Convert to fraction form
    282,686.63/437,153.63 = 437,153.63/x
  3. Step 3: Cross multiply
    282,686.63x = 437,153.63 × 437,153.63
  4. Step 4: Simplify right side
    282,686.63x = 191,103,291,850.64
  5. Step 5: Solve for x
    x = 191,103,291,850.64/282,686.63
  6. Step 6: Final answer
    x = 676,025.23

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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.