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Finding the Third Proportional to 535,894 and 829,410

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Solution

The third proportional to 535,894 and 829,410 is: 1,283,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,894 : 829,410 = 829,410 : x
  2. Step 2: Convert to fraction form
    535,894/829,410 = 829,410/x
  3. Step 3: Cross multiply
    535,894x = 829,410 × 829,410
  4. Step 4: Simplify right side
    535,894x = 687,920,948,100
  5. Step 5: Solve for x
    x = 687,920,948,100/535,894
  6. Step 6: Final answer
    x = 1,283,688.47

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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.