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Finding the Third Proportional to 302,569.59 and 658,362.94

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Solution

The third proportional to 302,569.59 and 658,362.94 is: 1,432,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,569.59 : 658,362.94 = 658,362.94 : x
  2. Step 2: Convert to fraction form
    302,569.59/658,362.94 = 658,362.94/x
  3. Step 3: Cross multiply
    302,569.59x = 658,362.94 × 658,362.94
  4. Step 4: Simplify right side
    302,569.59x = 433,441,757,473.63
  5. Step 5: Solve for x
    x = 433,441,757,473.63/302,569.59
  6. Step 6: Final answer
    x = 1,432,535.74

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Why These Related Problems?

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