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Finding the Third Proportional to 286,488 and 623,950

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Solution

The third proportional to 286,488 and 623,950 is: 1,358,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,488 : 623,950 = 623,950 : x
  2. Step 2: Convert to fraction form
    286,488/623,950 = 623,950/x
  3. Step 3: Cross multiply
    286,488x = 623,950 × 623,950
  4. Step 4: Simplify right side
    286,488x = 389,313,602,500
  5. Step 5: Solve for x
    x = 389,313,602,500/286,488
  6. Step 6: Final answer
    x = 1,358,917.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.