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Finding the Third Proportional to 447,412.50 and 971,046

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Solution

The third proportional to 447,412.50 and 971,046 is: 2,107,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,412.50 : 971,046 = 971,046 : x
  2. Step 2: Convert to fraction form
    447,412.50/971,046 = 971,046/x
  3. Step 3: Cross multiply
    447,412.50x = 971,046 × 971,046
  4. Step 4: Simplify right side
    447,412.50x = 942,930,334,116
  5. Step 5: Solve for x
    x = 942,930,334,116/447,412.50
  6. Step 6: Final answer
    x = 2,107,518.98

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Why These Related Problems?

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