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Finding the Third Proportional to 331,999.88 and 712,386

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Solution

The third proportional to 331,999.88 and 712,386 is: 1,528,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,999.88 : 712,386 = 712,386 : x
  2. Step 2: Convert to fraction form
    331,999.88/712,386 = 712,386/x
  3. Step 3: Cross multiply
    331,999.88x = 712,386 × 712,386
  4. Step 4: Simplify right side
    331,999.88x = 507,493,812,996
  5. Step 5: Solve for x
    x = 507,493,812,996/331,999.88
  6. Step 6: Final answer
    x = 1,528,596.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.