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Finding the Third Proportional to 565,538.63 and 1,232,695.13

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Solution

The third proportional to 565,538.63 and 1,232,695.13 is: 2,686,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,538.63 : 1,232,695.13 = 1,232,695.13 : x
  2. Step 2: Convert to fraction form
    565,538.63/1,232,695.13 = 1,232,695.13/x
  3. Step 3: Cross multiply
    565,538.63x = 1,232,695.13 × 1,232,695.13
  4. Step 4: Simplify right side
    565,538.63x = 1,519,537,271,198.77
  5. Step 5: Solve for x
    x = 1,519,537,271,198.77/565,538.63
  6. Step 6: Final answer
    x = 2,686,885.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.