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Finding the Third Proportional to 440,630 and 594,514

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Solution

The third proportional to 440,630 and 594,514 is: 802,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,630 : 594,514 = 594,514 : x
  2. Step 2: Convert to fraction form
    440,630/594,514 = 594,514/x
  3. Step 3: Cross multiply
    440,630x = 594,514 × 594,514
  4. Step 4: Simplify right side
    440,630x = 353,446,896,196
  5. Step 5: Solve for x
    x = 353,446,896,196/440,630
  6. Step 6: Final answer
    x = 802,139.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.