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Finding the Third Proportional to 314,560.13 and 684,416.25

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Solution

The third proportional to 314,560.13 and 684,416.25 is: 1,489,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,560.13 : 684,416.25 = 684,416.25 : x
  2. Step 2: Convert to fraction form
    314,560.13/684,416.25 = 684,416.25/x
  3. Step 3: Cross multiply
    314,560.13x = 684,416.25 × 684,416.25
  4. Step 4: Simplify right side
    314,560.13x = 468,425,603,264.06
  5. Step 5: Solve for x
    x = 468,425,603,264.06/314,560.13
  6. Step 6: Final answer
    x = 1,489,144.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.