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Finding the Third Proportional to 555,462 and 829,559

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Solution

The third proportional to 555,462 and 829,559 is: 1,238,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,462 : 829,559 = 829,559 : x
  2. Step 2: Convert to fraction form
    555,462/829,559 = 829,559/x
  3. Step 3: Cross multiply
    555,462x = 829,559 × 829,559
  4. Step 4: Simplify right side
    555,462x = 688,168,134,481
  5. Step 5: Solve for x
    x = 688,168,134,481/555,462
  6. Step 6: Final answer
    x = 1,238,911.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.