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Finding the Third Proportional to 319,869.50 and 684,023

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Solution

The third proportional to 319,869.50 and 684,023 is: 1,462,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,869.50 : 684,023 = 684,023 : x
  2. Step 2: Convert to fraction form
    319,869.50/684,023 = 684,023/x
  3. Step 3: Cross multiply
    319,869.50x = 684,023 × 684,023
  4. Step 4: Simplify right side
    319,869.50x = 467,887,464,529
  5. Step 5: Solve for x
    x = 467,887,464,529/319,869.50
  6. Step 6: Final answer
    x = 1,462,744.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.