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Finding the Third Proportional to 475,416 and 1,031,443.50

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Solution

The third proportional to 475,416 and 1,031,443.50 is: 2,237,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,416 : 1,031,443.50 = 1,031,443.50 : x
  2. Step 2: Convert to fraction form
    475,416/1,031,443.50 = 1,031,443.50/x
  3. Step 3: Cross multiply
    475,416x = 1,031,443.50 × 1,031,443.50
  4. Step 4: Simplify right side
    475,416x = 1,063,875,693,692.25
  5. Step 5: Solve for x
    x = 1,063,875,693,692.25/475,416
  6. Step 6: Final answer
    x = 2,237,778.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.