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Finding the Third Proportional to 535,569 and 829,803

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Solution

The third proportional to 535,569 and 829,803 is: 1,285,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,569 : 829,803 = 829,803 : x
  2. Step 2: Convert to fraction form
    535,569/829,803 = 829,803/x
  3. Step 3: Cross multiply
    535,569x = 829,803 × 829,803
  4. Step 4: Simplify right side
    535,569x = 688,573,018,809
  5. Step 5: Solve for x
    x = 688,573,018,809/535,569
  6. Step 6: Final answer
    x = 1,285,684.98

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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.