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Finding the Third Proportional to 595,096 and 832,356

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Solution

The third proportional to 595,096 and 832,356 is: 1,164,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,096 : 832,356 = 832,356 : x
  2. Step 2: Convert to fraction form
    595,096/832,356 = 832,356/x
  3. Step 3: Cross multiply
    595,096x = 832,356 × 832,356
  4. Step 4: Simplify right side
    595,096x = 692,816,510,736
  5. Step 5: Solve for x
    x = 692,816,510,736/595,096
  6. Step 6: Final answer
    x = 1,164,209.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.