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Finding the Third Proportional to 351,595.69 and 769,348.13

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Solution

The third proportional to 351,595.69 and 769,348.13 is: 1,683,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,595.69 : 769,348.13 = 769,348.13 : x
  2. Step 2: Convert to fraction form
    351,595.69/769,348.13 = 769,348.13/x
  3. Step 3: Cross multiply
    351,595.69x = 769,348.13 × 769,348.13
  4. Step 4: Simplify right side
    351,595.69x = 591,896,537,441.02
  5. Step 5: Solve for x
    x = 591,896,537,441.02/351,595.69
  6. Step 6: Final answer
    x = 1,683,457.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.