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Finding the Third Proportional to 432,134 and 573,426

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Solution

The third proportional to 432,134 and 573,426 is: 760,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,134 : 573,426 = 573,426 : x
  2. Step 2: Convert to fraction form
    432,134/573,426 = 573,426/x
  3. Step 3: Cross multiply
    432,134x = 573,426 × 573,426
  4. Step 4: Simplify right side
    432,134x = 328,817,377,476
  5. Step 5: Solve for x
    x = 328,817,377,476/432,134
  6. Step 6: Final answer
    x = 760,915.31

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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.