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Finding the Third Proportional to 347,918 and 537,594

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Solution

The third proportional to 347,918 and 537,594 is: 830,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,918 : 537,594 = 537,594 : x
  2. Step 2: Convert to fraction form
    347,918/537,594 = 537,594/x
  3. Step 3: Cross multiply
    347,918x = 537,594 × 537,594
  4. Step 4: Simplify right side
    347,918x = 289,007,308,836
  5. Step 5: Solve for x
    x = 289,007,308,836/347,918
  6. Step 6: Final answer
    x = 830,676.51

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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.