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Finding the Third Proportional to 362,470 and 784,674.50

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Solution

The third proportional to 362,470 and 784,674.50 is: 1,698,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,470 : 784,674.50 = 784,674.50 : x
  2. Step 2: Convert to fraction form
    362,470/784,674.50 = 784,674.50/x
  3. Step 3: Cross multiply
    362,470x = 784,674.50 × 784,674.50
  4. Step 4: Simplify right side
    362,470x = 615,714,070,950.25
  5. Step 5: Solve for x
    x = 615,714,070,950.25/362,470
  6. Step 6: Final answer
    x = 1,698,662.15

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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.