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Finding the Third Proportional to 347,916 and 537,588

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Solution

The third proportional to 347,916 and 537,588 is: 830,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,916 : 537,588 = 537,588 : x
  2. Step 2: Convert to fraction form
    347,916/537,588 = 537,588/x
  3. Step 3: Cross multiply
    347,916x = 537,588 × 537,588
  4. Step 4: Simplify right side
    347,916x = 289,000,857,744
  5. Step 5: Solve for x
    x = 289,000,857,744/347,916
  6. Step 6: Final answer
    x = 830,662.74

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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.