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Finding the Third Proportional to 413,542.50 and 900,659

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Solution

The third proportional to 413,542.50 and 900,659 is: 1,961,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,542.50 : 900,659 = 900,659 : x
  2. Step 2: Convert to fraction form
    413,542.50/900,659 = 900,659/x
  3. Step 3: Cross multiply
    413,542.50x = 900,659 × 900,659
  4. Step 4: Simplify right side
    413,542.50x = 811,186,634,281
  5. Step 5: Solve for x
    x = 811,186,634,281/413,542.50
  6. Step 6: Final answer
    x = 1,961,555.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.