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Finding the Third Proportional to 410,532 and 653,742

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Solution

The third proportional to 410,532 and 653,742 is: 1,041,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,532 : 653,742 = 653,742 : x
  2. Step 2: Convert to fraction form
    410,532/653,742 = 653,742/x
  3. Step 3: Cross multiply
    410,532x = 653,742 × 653,742
  4. Step 4: Simplify right side
    410,532x = 427,378,602,564
  5. Step 5: Solve for x
    x = 427,378,602,564/410,532
  6. Step 6: Final answer
    x = 1,041,036.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.