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Finding the Third Proportional to 302,478.38 and 658,298.81

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Solution

The third proportional to 302,478.38 and 658,298.81 is: 1,432,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,478.38 : 658,298.81 = 658,298.81 : x
  2. Step 2: Convert to fraction form
    302,478.38/658,298.81 = 658,298.81/x
  3. Step 3: Cross multiply
    302,478.38x = 658,298.81 × 658,298.81
  4. Step 4: Simplify right side
    302,478.38x = 433,357,326,538.91
  5. Step 5: Solve for x
    x = 433,357,326,538.91/302,478.38
  6. Step 6: Final answer
    x = 1,432,688.62

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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.