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Finding the Third Proportional to 271,044 and 594,432

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Solution

The third proportional to 271,044 and 594,432 is: 1,303,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,044 : 594,432 = 594,432 : x
  2. Step 2: Convert to fraction form
    271,044/594,432 = 594,432/x
  3. Step 3: Cross multiply
    271,044x = 594,432 × 594,432
  4. Step 4: Simplify right side
    271,044x = 353,349,402,624
  5. Step 5: Solve for x
    x = 353,349,402,624/271,044
  6. Step 6: Final answer
    x = 1,303,660.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.