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Finding the Third Proportional to 286,733.25 and 623,306.25

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Solution

The third proportional to 286,733.25 and 623,306.25 is: 1,354,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,733.25 : 623,306.25 = 623,306.25 : x
  2. Step 2: Convert to fraction form
    286,733.25/623,306.25 = 623,306.25/x
  3. Step 3: Cross multiply
    286,733.25x = 623,306.25 × 623,306.25
  4. Step 4: Simplify right side
    286,733.25x = 388,510,681,289.06
  5. Step 5: Solve for x
    x = 388,510,681,289.06/286,733.25
  6. Step 6: Final answer
    x = 1,354,955.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.