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Finding the Third Proportional to 634,416.75 and 971,718.75

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Solution

The third proportional to 634,416.75 and 971,718.75 is: 1,488,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,416.75 : 971,718.75 = 971,718.75 : x
  2. Step 2: Convert to fraction form
    634,416.75/971,718.75 = 971,718.75/x
  3. Step 3: Cross multiply
    634,416.75x = 971,718.75 × 971,718.75
  4. Step 4: Simplify right side
    634,416.75x = 944,237,329,101.56
  5. Step 5: Solve for x
    x = 944,237,329,101.56/634,416.75
  6. Step 6: Final answer
    x = 1,488,354.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.