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Finding the Third Proportional to 362,824 and 784,748

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Solution

The third proportional to 362,824 and 784,748 is: 1,697,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,824 : 784,748 = 784,748 : x
  2. Step 2: Convert to fraction form
    362,824/784,748 = 784,748/x
  3. Step 3: Cross multiply
    362,824x = 784,748 × 784,748
  4. Step 4: Simplify right side
    362,824x = 615,829,423,504
  5. Step 5: Solve for x
    x = 615,829,423,504/362,824
  6. Step 6: Final answer
    x = 1,697,322.73

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Why These Related Problems?

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