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Finding the Third Proportional to 332,515.13 and 688,677.19

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Solution

The third proportional to 332,515.13 and 688,677.19 is: 1,426,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,515.13 : 688,677.19 = 688,677.19 : x
  2. Step 2: Convert to fraction form
    332,515.13/688,677.19 = 688,677.19/x
  3. Step 3: Cross multiply
    332,515.13x = 688,677.19 × 688,677.19
  4. Step 4: Simplify right side
    332,515.13x = 474,276,268,582.91
  5. Step 5: Solve for x
    x = 474,276,268,582.91/332,515.13
  6. Step 6: Final answer
    x = 1,426,329.91

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.