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Finding the Third Proportional to 432,020 and 573,271

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Solution

The third proportional to 432,020 and 573,271 is: 760,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,020 : 573,271 = 573,271 : x
  2. Step 2: Convert to fraction form
    432,020/573,271 = 573,271/x
  3. Step 3: Cross multiply
    432,020x = 573,271 × 573,271
  4. Step 4: Simplify right side
    432,020x = 328,639,639,441
  5. Step 5: Solve for x
    x = 328,639,639,441/432,020
  6. Step 6: Final answer
    x = 760,704.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.