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Finding the Third Proportional to 591,261.50 and 913,489

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Solution

The third proportional to 591,261.50 and 913,489 is: 1,411,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,261.50 : 913,489 = 913,489 : x
  2. Step 2: Convert to fraction form
    591,261.50/913,489 = 913,489/x
  3. Step 3: Cross multiply
    591,261.50x = 913,489 × 913,489
  4. Step 4: Simplify right side
    591,261.50x = 834,462,153,121
  5. Step 5: Solve for x
    x = 834,462,153,121/591,261.50
  6. Step 6: Final answer
    x = 1,411,325.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.