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Finding the Third Proportional to 531,497 and 807,083

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Solution

The third proportional to 531,497 and 807,083 is: 1,225,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,497 : 807,083 = 807,083 : x
  2. Step 2: Convert to fraction form
    531,497/807,083 = 807,083/x
  3. Step 3: Cross multiply
    531,497x = 807,083 × 807,083
  4. Step 4: Simplify right side
    531,497x = 651,382,968,889
  5. Step 5: Solve for x
    x = 651,382,968,889/531,497
  6. Step 6: Final answer
    x = 1,225,562.83

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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.