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Finding the Third Proportional to 347,565 and 537,309.50

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Solution

The third proportional to 347,565 and 537,309.50 is: 830,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,565 : 537,309.50 = 537,309.50 : x
  2. Step 2: Convert to fraction form
    347,565/537,309.50 = 537,309.50/x
  3. Step 3: Cross multiply
    347,565x = 537,309.50 × 537,309.50
  4. Step 4: Simplify right side
    347,565x = 288,701,498,790.25
  5. Step 5: Solve for x
    x = 288,701,498,790.25/347,565
  6. Step 6: Final answer
    x = 830,640.31

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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.