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Finding the Third Proportional to 435,957.19 and 636,709.36

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Solution

The third proportional to 435,957.19 and 636,709.36 is: 929,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,957.19 : 636,709.36 = 636,709.36 : x
  2. Step 2: Convert to fraction form
    435,957.19/636,709.36 = 636,709.36/x
  3. Step 3: Cross multiply
    435,957.19x = 636,709.36 × 636,709.36
  4. Step 4: Simplify right side
    435,957.19x = 405,398,808,315.72
  5. Step 5: Solve for x
    x = 405,398,808,315.72/435,957.19
  6. Step 6: Final answer
    x = 929,905.09

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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.