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Finding the Third Proportional to 296,065.13 and 432,103.36

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Solution

The third proportional to 296,065.13 and 432,103.36 is: 630,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,065.13 : 432,103.36 = 432,103.36 : x
  2. Step 2: Convert to fraction form
    296,065.13/432,103.36 = 432,103.36/x
  3. Step 3: Cross multiply
    296,065.13x = 432,103.36 × 432,103.36
  4. Step 4: Simplify right side
    296,065.13x = 186,713,313,183.16
  5. Step 5: Solve for x
    x = 186,713,313,183.16/296,065.13
  6. Step 6: Final answer
    x = 630,649.47

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Why These Related Problems?

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