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Finding the Third Proportional to 546,506 and 764,226

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Solution

The third proportional to 546,506 and 764,226 is: 1,068,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,506 : 764,226 = 764,226 : x
  2. Step 2: Convert to fraction form
    546,506/764,226 = 764,226/x
  3. Step 3: Cross multiply
    546,506x = 764,226 × 764,226
  4. Step 4: Simplify right side
    546,506x = 584,041,379,076
  5. Step 5: Solve for x
    x = 584,041,379,076/546,506
  6. Step 6: Final answer
    x = 1,068,682.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.