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Finding the Third Proportional to 499,110 and 775,737

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Solution

The third proportional to 499,110 and 775,737 is: 1,205,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,110 : 775,737 = 775,737 : x
  2. Step 2: Convert to fraction form
    499,110/775,737 = 775,737/x
  3. Step 3: Cross multiply
    499,110x = 775,737 × 775,737
  4. Step 4: Simplify right side
    499,110x = 601,767,893,169
  5. Step 5: Solve for x
    x = 601,767,893,169/499,110
  6. Step 6: Final answer
    x = 1,205,681.90

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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.