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Finding the Third Proportional to 320,916 and 695,344.50

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Solution

The third proportional to 320,916 and 695,344.50 is: 1,506,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,916 : 695,344.50 = 695,344.50 : x
  2. Step 2: Convert to fraction form
    320,916/695,344.50 = 695,344.50/x
  3. Step 3: Cross multiply
    320,916x = 695,344.50 × 695,344.50
  4. Step 4: Simplify right side
    320,916x = 483,503,973,680.25
  5. Step 5: Solve for x
    x = 483,503,973,680.25/320,916
  6. Step 6: Final answer
    x = 1,506,637.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.