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Finding the Third Proportional to 292,835.25 and 641,702.25

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Solution

The third proportional to 292,835.25 and 641,702.25 is: 1,406,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,835.25 : 641,702.25 = 641,702.25 : x
  2. Step 2: Convert to fraction form
    292,835.25/641,702.25 = 641,702.25/x
  3. Step 3: Cross multiply
    292,835.25x = 641,702.25 × 641,702.25
  4. Step 4: Simplify right side
    292,835.25x = 411,781,777,655.06
  5. Step 5: Solve for x
    x = 411,781,777,655.06/292,835.25
  6. Step 6: Final answer
    x = 1,406,189.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.