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Finding the Third Proportional to 500,283 and 775,818

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Solution

The third proportional to 500,283 and 775,818 is: 1,203,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,283 : 775,818 = 775,818 : x
  2. Step 2: Convert to fraction form
    500,283/775,818 = 775,818/x
  3. Step 3: Cross multiply
    500,283x = 775,818 × 775,818
  4. Step 4: Simplify right side
    500,283x = 601,893,569,124
  5. Step 5: Solve for x
    x = 601,893,569,124/500,283
  6. Step 6: Final answer
    x = 1,203,106.18

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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.