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Finding the Third Proportional to 492,952 and 793,641

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Solution

The third proportional to 492,952 and 793,641 is: 1,277,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,952 : 793,641 = 793,641 : x
  2. Step 2: Convert to fraction form
    492,952/793,641 = 793,641/x
  3. Step 3: Cross multiply
    492,952x = 793,641 × 793,641
  4. Step 4: Simplify right side
    492,952x = 629,866,036,881
  5. Step 5: Solve for x
    x = 629,866,036,881/492,952
  6. Step 6: Final answer
    x = 1,277,743.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.