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Finding the Third Proportional to 562,046.25 and 857,075.63

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Solution

The third proportional to 562,046.25 and 857,075.63 is: 1,306,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,046.25 : 857,075.63 = 857,075.63 : x
  2. Step 2: Convert to fraction form
    562,046.25/857,075.63 = 857,075.63/x
  3. Step 3: Cross multiply
    562,046.25x = 857,075.63 × 857,075.63
  4. Step 4: Simplify right side
    562,046.25x = 734,578,626,969.14
  5. Step 5: Solve for x
    x = 734,578,626,969.14/562,046.25
  6. Step 6: Final answer
    x = 1,306,971.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.