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Finding the Third Proportional to 495,088 and 743,727

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Solution

The third proportional to 495,088 and 743,727 is: 1,117,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,088 : 743,727 = 743,727 : x
  2. Step 2: Convert to fraction form
    495,088/743,727 = 743,727/x
  3. Step 3: Cross multiply
    495,088x = 743,727 × 743,727
  4. Step 4: Simplify right side
    495,088x = 553,129,850,529
  5. Step 5: Solve for x
    x = 553,129,850,529/495,088
  6. Step 6: Final answer
    x = 1,117,235.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.