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Finding the Third Proportional to 520,630 and 804,541

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Solution

The third proportional to 520,630 and 804,541 is: 1,243,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,630 : 804,541 = 804,541 : x
  2. Step 2: Convert to fraction form
    520,630/804,541 = 804,541/x
  3. Step 3: Cross multiply
    520,630x = 804,541 × 804,541
  4. Step 4: Simplify right side
    520,630x = 647,286,220,681
  5. Step 5: Solve for x
    x = 647,286,220,681/520,630
  6. Step 6: Final answer
    x = 1,243,274.92

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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.