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Finding the Third Proportional to 535,417 and 829,045

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Solution

The third proportional to 535,417 and 829,045 is: 1,283,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,417 : 829,045 = 829,045 : x
  2. Step 2: Convert to fraction form
    535,417/829,045 = 829,045/x
  3. Step 3: Cross multiply
    535,417x = 829,045 × 829,045
  4. Step 4: Simplify right side
    535,417x = 687,315,612,025
  5. Step 5: Solve for x
    x = 687,315,612,025/535,417
  6. Step 6: Final answer
    x = 1,283,701.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.