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Finding the Third Proportional to 286,485 and 623,946

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Solution

The third proportional to 286,485 and 623,946 is: 1,358,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,485 : 623,946 = 623,946 : x
  2. Step 2: Convert to fraction form
    286,485/623,946 = 623,946/x
  3. Step 3: Cross multiply
    286,485x = 623,946 × 623,946
  4. Step 4: Simplify right side
    286,485x = 389,308,610,916
  5. Step 5: Solve for x
    x = 389,308,610,916/286,485
  6. Step 6: Final answer
    x = 1,358,914.47

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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.