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Finding the Third Proportional to 347,553 and 537,289.88

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Solution

The third proportional to 347,553 and 537,289.88 is: 830,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,553 : 537,289.88 = 537,289.88 : x
  2. Step 2: Convert to fraction form
    347,553/537,289.88 = 537,289.88/x
  3. Step 3: Cross multiply
    347,553x = 537,289.88 × 537,289.88
  4. Step 4: Simplify right side
    347,553x = 288,680,409,777.52
  5. Step 5: Solve for x
    x = 288,680,409,777.52/347,553
  6. Step 6: Final answer
    x = 830,608.31

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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.