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Finding the Third Proportional to 302,898.19 and 475,199.63

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Solution

The third proportional to 302,898.19 and 475,199.63 is: 745,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,898.19 : 475,199.63 = 475,199.63 : x
  2. Step 2: Convert to fraction form
    302,898.19/475,199.63 = 475,199.63/x
  3. Step 3: Cross multiply
    302,898.19x = 475,199.63 × 475,199.63
  4. Step 4: Simplify right side
    302,898.19x = 225,814,683,600.14
  5. Step 5: Solve for x
    x = 225,814,683,600.14/302,898.19
  6. Step 6: Final answer
    x = 745,513.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.