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Finding the Third Proportional to 367,416 and 520,038

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Solution

The third proportional to 367,416 and 520,038 is: 736,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,416 : 520,038 = 520,038 : x
  2. Step 2: Convert to fraction form
    367,416/520,038 = 520,038/x
  3. Step 3: Cross multiply
    367,416x = 520,038 × 520,038
  4. Step 4: Simplify right side
    367,416x = 270,439,521,444
  5. Step 5: Solve for x
    x = 270,439,521,444/367,416
  6. Step 6: Final answer
    x = 736,058.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.