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Finding the Third Proportional to 331,075.13 and 714,638.25

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Solution

The third proportional to 331,075.13 and 714,638.25 is: 1,542,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,075.13 : 714,638.25 = 714,638.25 : x
  2. Step 2: Convert to fraction form
    331,075.13/714,638.25 = 714,638.25/x
  3. Step 3: Cross multiply
    331,075.13x = 714,638.25 × 714,638.25
  4. Step 4: Simplify right side
    331,075.13x = 510,707,828,363.06
  5. Step 5: Solve for x
    x = 510,707,828,363.06/331,075.13
  6. Step 6: Final answer
    x = 1,542,573.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.