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Finding the Third Proportional to 362,456.50 and 784,646

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Solution

The third proportional to 362,456.50 and 784,646 is: 1,698,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,456.50 : 784,646 = 784,646 : x
  2. Step 2: Convert to fraction form
    362,456.50/784,646 = 784,646/x
  3. Step 3: Cross multiply
    362,456.50x = 784,646 × 784,646
  4. Step 4: Simplify right side
    362,456.50x = 615,669,345,316
  5. Step 5: Solve for x
    x = 615,669,345,316/362,456.50
  6. Step 6: Final answer
    x = 1,698,602.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.