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Finding the Third Proportional to 292,838.73 and 641,764.90

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Solution

The third proportional to 292,838.73 and 641,764.90 is: 1,406,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,838.73 : 641,764.90 = 641,764.90 : x
  2. Step 2: Convert to fraction form
    292,838.73/641,764.90 = 641,764.90/x
  3. Step 3: Cross multiply
    292,838.73x = 641,764.90 × 641,764.90
  4. Step 4: Simplify right side
    292,838.73x = 411,862,184,866.50
  5. Step 5: Solve for x
    x = 411,862,184,866.50/292,838.73
  6. Step 6: Final answer
    x = 1,406,447.11

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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.