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Finding the Third Proportional to 410,535 and 653,747

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Solution

The third proportional to 410,535 and 653,747 is: 1,041,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,535 : 653,747 = 653,747 : x
  2. Step 2: Convert to fraction form
    410,535/653,747 = 653,747/x
  3. Step 3: Cross multiply
    410,535x = 653,747 × 653,747
  4. Step 4: Simplify right side
    410,535x = 427,385,140,009
  5. Step 5: Solve for x
    x = 427,385,140,009/410,535
  6. Step 6: Final answer
    x = 1,041,044.34

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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.