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Finding the Third Proportional to 602,824.75 and 1,300,300.13

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Solution

The third proportional to 602,824.75 and 1,300,300.13 is: 2,804,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,824.75 : 1,300,300.13 = 1,300,300.13 : x
  2. Step 2: Convert to fraction form
    602,824.75/1,300,300.13 = 1,300,300.13/x
  3. Step 3: Cross multiply
    602,824.75x = 1,300,300.13 × 1,300,300.13
  4. Step 4: Simplify right side
    602,824.75x = 1,690,780,415,075.02
  5. Step 5: Solve for x
    x = 1,690,780,415,075.02/602,824.75
  6. Step 6: Final answer
    x = 2,804,762.77

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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.