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Finding the Third Proportional to 364,570 and 534,541

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Solution

The third proportional to 364,570 and 534,541 is: 783,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,570 : 534,541 = 534,541 : x
  2. Step 2: Convert to fraction form
    364,570/534,541 = 534,541/x
  3. Step 3: Cross multiply
    364,570x = 534,541 × 534,541
  4. Step 4: Simplify right side
    364,570x = 285,734,080,681
  5. Step 5: Solve for x
    x = 285,734,080,681/364,570
  6. Step 6: Final answer
    x = 783,756.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.