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Finding the Third Proportional to 634,549.50 and 983,031.75

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Solution

The third proportional to 634,549.50 and 983,031.75 is: 1,522,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,549.50 : 983,031.75 = 983,031.75 : x
  2. Step 2: Convert to fraction form
    634,549.50/983,031.75 = 983,031.75/x
  3. Step 3: Cross multiply
    634,549.50x = 983,031.75 × 983,031.75
  4. Step 4: Simplify right side
    634,549.50x = 966,351,421,508.06
  5. Step 5: Solve for x
    x = 966,351,421,508.06/634,549.50
  6. Step 6: Final answer
    x = 1,522,893.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.