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Finding the Third Proportional to 326,075.63 and 696,927.80

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Solution

The third proportional to 326,075.63 and 696,927.80 is: 1,489,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,075.63 : 696,927.80 = 696,927.80 : x
  2. Step 2: Convert to fraction form
    326,075.63/696,927.80 = 696,927.80/x
  3. Step 3: Cross multiply
    326,075.63x = 696,927.80 × 696,927.80
  4. Step 4: Simplify right side
    326,075.63x = 485,708,354,057.04
  5. Step 5: Solve for x
    x = 485,708,354,057.04/326,075.63
  6. Step 6: Final answer
    x = 1,489,557.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.