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Finding the Third Proportional to 545,880 and 803,214

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Solution

The third proportional to 545,880 and 803,214 is: 1,181,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,880 : 803,214 = 803,214 : x
  2. Step 2: Convert to fraction form
    545,880/803,214 = 803,214/x
  3. Step 3: Cross multiply
    545,880x = 803,214 × 803,214
  4. Step 4: Simplify right side
    545,880x = 645,152,729,796
  5. Step 5: Solve for x
    x = 645,152,729,796/545,880
  6. Step 6: Final answer
    x = 1,181,858.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.