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Finding the Third Proportional to 545,786 and 829,694.50

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Solution

The third proportional to 545,786 and 829,694.50 is: 1,261,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,786 : 829,694.50 = 829,694.50 : x
  2. Step 2: Convert to fraction form
    545,786/829,694.50 = 829,694.50/x
  3. Step 3: Cross multiply
    545,786x = 829,694.50 × 829,694.50
  4. Step 4: Simplify right side
    545,786x = 688,392,963,330.25
  5. Step 5: Solve for x
    x = 688,392,963,330.25/545,786
  6. Step 6: Final answer
    x = 1,261,287.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.