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Finding the Third Proportional to 523,655 and 819,178

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Solution

The third proportional to 523,655 and 819,178 is: 1,281,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,655 : 819,178 = 819,178 : x
  2. Step 2: Convert to fraction form
    523,655/819,178 = 819,178/x
  3. Step 3: Cross multiply
    523,655x = 819,178 × 819,178
  4. Step 4: Simplify right side
    523,655x = 671,052,595,684
  5. Step 5: Solve for x
    x = 671,052,595,684/523,655
  6. Step 6: Final answer
    x = 1,281,478.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.