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Finding the Third Proportional to 289,521.38 and 417,673.13

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Solution

The third proportional to 289,521.38 and 417,673.13 is: 602,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,521.38 : 417,673.13 = 417,673.13 : x
  2. Step 2: Convert to fraction form
    289,521.38/417,673.13 = 417,673.13/x
  3. Step 3: Cross multiply
    289,521.38x = 417,673.13 × 417,673.13
  4. Step 4: Simplify right side
    289,521.38x = 174,450,839,347.27
  5. Step 5: Solve for x
    x = 174,450,839,347.27/289,521.38
  6. Step 6: Final answer
    x = 602,549.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.