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Finding the Third Proportional to 286,357.50 and 646,969.50

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Solution

The third proportional to 286,357.50 and 646,969.50 is: 1,461,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,357.50 : 646,969.50 = 646,969.50 : x
  2. Step 2: Convert to fraction form
    286,357.50/646,969.50 = 646,969.50/x
  3. Step 3: Cross multiply
    286,357.50x = 646,969.50 × 646,969.50
  4. Step 4: Simplify right side
    286,357.50x = 418,569,533,930.25
  5. Step 5: Solve for x
    x = 418,569,533,930.25/286,357.50
  6. Step 6: Final answer
    x = 1,461,702.71

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.