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Finding the Third Proportional to 410,548.50 and 653,778

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Solution

The third proportional to 410,548.50 and 653,778 is: 1,041,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,548.50 : 653,778 = 653,778 : x
  2. Step 2: Convert to fraction form
    410,548.50/653,778 = 653,778/x
  3. Step 3: Cross multiply
    410,548.50x = 653,778 × 653,778
  4. Step 4: Simplify right side
    410,548.50x = 427,425,673,284
  5. Step 5: Solve for x
    x = 427,425,673,284/410,548.50
  6. Step 6: Final answer
    x = 1,041,108.84

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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.