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Finding the Third Proportional to 535,574 and 829,970

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Solution

The third proportional to 535,574 and 829,970 is: 1,286,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,574 : 829,970 = 829,970 : x
  2. Step 2: Convert to fraction form
    535,574/829,970 = 829,970/x
  3. Step 3: Cross multiply
    535,574x = 829,970 × 829,970
  4. Step 4: Simplify right side
    535,574x = 688,850,200,900
  5. Step 5: Solve for x
    x = 688,850,200,900/535,574
  6. Step 6: Final answer
    x = 1,286,190.52

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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.