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Finding the Third Proportional to 292,029.19 and 426,956.91

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Solution

The third proportional to 292,029.19 and 426,956.91 is: 624,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,029.19 : 426,956.91 = 426,956.91 : x
  2. Step 2: Convert to fraction form
    292,029.19/426,956.91 = 426,956.91/x
  3. Step 3: Cross multiply
    292,029.19x = 426,956.91 × 426,956.91
  4. Step 4: Simplify right side
    292,029.19x = 182,292,199,794.57
  5. Step 5: Solve for x
    x = 182,292,199,794.57/292,029.19
  6. Step 6: Final answer
    x = 624,225.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.