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Finding the Third Proportional to 440,646 and 594,534

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Solution

The third proportional to 440,646 and 594,534 is: 802,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,646 : 594,534 = 594,534 : x
  2. Step 2: Convert to fraction form
    440,646/594,534 = 594,534/x
  3. Step 3: Cross multiply
    440,646x = 594,534 × 594,534
  4. Step 4: Simplify right side
    440,646x = 353,470,677,156
  5. Step 5: Solve for x
    x = 353,470,677,156/440,646
  6. Step 6: Final answer
    x = 802,164.72

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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.