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Finding the Third Proportional to 302,030.44 and 651,349.69

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Solution

The third proportional to 302,030.44 and 651,349.69 is: 1,404,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,030.44 : 651,349.69 = 651,349.69 : x
  2. Step 2: Convert to fraction form
    302,030.44/651,349.69 = 651,349.69/x
  3. Step 3: Cross multiply
    302,030.44x = 651,349.69 × 651,349.69
  4. Step 4: Simplify right side
    302,030.44x = 424,256,415,406.35
  5. Step 5: Solve for x
    x = 424,256,415,406.35/302,030.44
  6. Step 6: Final answer
    x = 1,404,680.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.