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Finding the Third Proportional to 535,086 and 783,432

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Solution

The third proportional to 535,086 and 783,432 is: 1,147,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086 : 783,432 = 783,432 : x
  2. Step 2: Convert to fraction form
    535,086/783,432 = 783,432/x
  3. Step 3: Cross multiply
    535,086x = 783,432 × 783,432
  4. Step 4: Simplify right side
    535,086x = 613,765,698,624
  5. Step 5: Solve for x
    x = 613,765,698,624/535,086
  6. Step 6: Final answer
    x = 1,147,041.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.