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Finding the Third Proportional to 332,533.50 and 688,714.50

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Solution

The third proportional to 332,533.50 and 688,714.50 is: 1,426,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,533.50 : 688,714.50 = 688,714.50 : x
  2. Step 2: Convert to fraction form
    332,533.50/688,714.50 = 688,714.50/x
  3. Step 3: Cross multiply
    332,533.50x = 688,714.50 × 688,714.50
  4. Step 4: Simplify right side
    332,533.50x = 474,327,662,510.25
  5. Step 5: Solve for x
    x = 474,327,662,510.25/332,533.50
  6. Step 6: Final answer
    x = 1,426,405.65

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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.