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Finding the Third Proportional to 319,420.50 and 698,457

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Solution

The third proportional to 319,420.50 and 698,457 is: 1,527,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,420.50 : 698,457 = 698,457 : x
  2. Step 2: Convert to fraction form
    319,420.50/698,457 = 698,457/x
  3. Step 3: Cross multiply
    319,420.50x = 698,457 × 698,457
  4. Step 4: Simplify right side
    319,420.50x = 487,842,180,849
  5. Step 5: Solve for x
    x = 487,842,180,849/319,420.50
  6. Step 6: Final answer
    x = 1,527,272.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.