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Finding the Third Proportional to 410,135 and 601,352

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Solution

The third proportional to 410,135 and 601,352 is: 881,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,135 : 601,352 = 601,352 : x
  2. Step 2: Convert to fraction form
    410,135/601,352 = 601,352/x
  3. Step 3: Cross multiply
    410,135x = 601,352 × 601,352
  4. Step 4: Simplify right side
    410,135x = 361,624,227,904
  5. Step 5: Solve for x
    x = 361,624,227,904/410,135
  6. Step 6: Final answer
    x = 881,719.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.