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Finding the Third Proportional to 503,294.63 and 762,271.31

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Solution

The third proportional to 503,294.63 and 762,271.31 is: 1,154,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,294.63 : 762,271.31 = 762,271.31 : x
  2. Step 2: Convert to fraction form
    503,294.63/762,271.31 = 762,271.31/x
  3. Step 3: Cross multiply
    503,294.63x = 762,271.31 × 762,271.31
  4. Step 4: Simplify right side
    503,294.63x = 581,057,553,860.47
  5. Step 5: Solve for x
    x = 581,057,553,860.47/503,294.63
  6. Step 6: Final answer
    x = 1,154,507.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.