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Finding the Third Proportional to 292,909.50 and 609,143.63

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Solution

The third proportional to 292,909.50 and 609,143.63 is: 1,266,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,909.50 : 609,143.63 = 609,143.63 : x
  2. Step 2: Convert to fraction form
    292,909.50/609,143.63 = 609,143.63/x
  3. Step 3: Cross multiply
    292,909.50x = 609,143.63 × 609,143.63
  4. Step 4: Simplify right side
    292,909.50x = 371,055,955,878.14
  5. Step 5: Solve for x
    x = 371,055,955,878.14/292,909.50
  6. Step 6: Final answer
    x = 1,266,793.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.