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Finding the Third Proportional to 289,521 and 417,672.50

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Solution

The third proportional to 289,521 and 417,672.50 is: 602,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,521 : 417,672.50 = 417,672.50 : x
  2. Step 2: Convert to fraction form
    289,521/417,672.50 = 417,672.50/x
  3. Step 3: Cross multiply
    289,521x = 417,672.50 × 417,672.50
  4. Step 4: Simplify right side
    289,521x = 174,450,317,256.25
  5. Step 5: Solve for x
    x = 174,450,317,256.25/289,521
  6. Step 6: Final answer
    x = 602,548.06

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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.