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Finding the Third Proportional to 565,566 and 829,341

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Solution

The third proportional to 565,566 and 829,341 is: 1,216,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,566 : 829,341 = 829,341 : x
  2. Step 2: Convert to fraction form
    565,566/829,341 = 829,341/x
  3. Step 3: Cross multiply
    565,566x = 829,341 × 829,341
  4. Step 4: Simplify right side
    565,566x = 687,806,494,281
  5. Step 5: Solve for x
    x = 687,806,494,281/565,566
  6. Step 6: Final answer
    x = 1,216,138.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.