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Finding the Third Proportional to 495,668 and 787,789

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Solution

The third proportional to 495,668 and 787,789 is: 1,252,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,668 : 787,789 = 787,789 : x
  2. Step 2: Convert to fraction form
    495,668/787,789 = 787,789/x
  3. Step 3: Cross multiply
    495,668x = 787,789 × 787,789
  4. Step 4: Simplify right side
    495,668x = 620,611,508,521
  5. Step 5: Solve for x
    x = 620,611,508,521/495,668
  6. Step 6: Final answer
    x = 1,252,070.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.