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Finding the Third Proportional to 454,323 and 712,740

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Solution

The third proportional to 454,323 and 712,740 is: 1,118,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,323 : 712,740 = 712,740 : x
  2. Step 2: Convert to fraction form
    454,323/712,740 = 712,740/x
  3. Step 3: Cross multiply
    454,323x = 712,740 × 712,740
  4. Step 4: Simplify right side
    454,323x = 507,998,307,600
  5. Step 5: Solve for x
    x = 507,998,307,600/454,323
  6. Step 6: Final answer
    x = 1,118,143.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.