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Finding the Third Proportional to 347,712 and 496,294.50

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Solution

The third proportional to 347,712 and 496,294.50 is: 708,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,712 : 496,294.50 = 496,294.50 : x
  2. Step 2: Convert to fraction form
    347,712/496,294.50 = 496,294.50/x
  3. Step 3: Cross multiply
    347,712x = 496,294.50 × 496,294.50
  4. Step 4: Simplify right side
    347,712x = 246,308,230,730.25
  5. Step 5: Solve for x
    x = 246,308,230,730.25/347,712
  6. Step 6: Final answer
    x = 708,368.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.