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Finding the Third Proportional to 443,734.50 and 971,934

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Solution

The third proportional to 443,734.50 and 971,934 is: 2,128,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,734.50 : 971,934 = 971,934 : x
  2. Step 2: Convert to fraction form
    443,734.50/971,934 = 971,934/x
  3. Step 3: Cross multiply
    443,734.50x = 971,934 × 971,934
  4. Step 4: Simplify right side
    443,734.50x = 944,655,700,356
  5. Step 5: Solve for x
    x = 944,655,700,356/443,734.50
  6. Step 6: Final answer
    x = 2,128,875.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.