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Finding the Third Proportional to 535,242 and 830,064.75

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Solution

The third proportional to 535,242 and 830,064.75 is: 1,287,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,242 : 830,064.75 = 830,064.75 : x
  2. Step 2: Convert to fraction form
    535,242/830,064.75 = 830,064.75/x
  3. Step 3: Cross multiply
    535,242x = 830,064.75 × 830,064.75
  4. Step 4: Simplify right side
    535,242x = 689,007,489,192.56
  5. Step 5: Solve for x
    x = 689,007,489,192.56/535,242
  6. Step 6: Final answer
    x = 1,287,282.18

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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.