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Finding the Third Proportional to 296,065.13 and 427,330.69

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Solution

The third proportional to 296,065.13 and 427,330.69 is: 616,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,065.13 : 427,330.69 = 427,330.69 : x
  2. Step 2: Convert to fraction form
    296,065.13/427,330.69 = 427,330.69/x
  3. Step 3: Cross multiply
    296,065.13x = 427,330.69 × 427,330.69
  4. Step 4: Simplify right side
    296,065.13x = 182,611,516,479.22
  5. Step 5: Solve for x
    x = 182,611,516,479.22/296,065.13
  6. Step 6: Final answer
    x = 616,795.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.