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Finding the Third Proportional to 320,692.50 and 696,033

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Solution

The third proportional to 320,692.50 and 696,033 is: 1,510,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,692.50 : 696,033 = 696,033 : x
  2. Step 2: Convert to fraction form
    320,692.50/696,033 = 696,033/x
  3. Step 3: Cross multiply
    320,692.50x = 696,033 × 696,033
  4. Step 4: Simplify right side
    320,692.50x = 484,461,937,089
  5. Step 5: Solve for x
    x = 484,461,937,089/320,692.50
  6. Step 6: Final answer
    x = 1,510,674.36

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Why These Related Problems?

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