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Finding the Third Proportional to 291,816 and 535,680

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Solution

The third proportional to 291,816 and 535,680 is: 983,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,816 : 535,680 = 535,680 : x
  2. Step 2: Convert to fraction form
    291,816/535,680 = 535,680/x
  3. Step 3: Cross multiply
    291,816x = 535,680 × 535,680
  4. Step 4: Simplify right side
    291,816x = 286,953,062,400
  5. Step 5: Solve for x
    x = 286,953,062,400/291,816
  6. Step 6: Final answer
    x = 983,335.60

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.