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Finding the Third Proportional to 523,854 and 775,959

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Solution

The third proportional to 523,854 and 775,959 is: 1,149,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,854 : 775,959 = 775,959 : x
  2. Step 2: Convert to fraction form
    523,854/775,959 = 775,959/x
  3. Step 3: Cross multiply
    523,854x = 775,959 × 775,959
  4. Step 4: Simplify right side
    523,854x = 602,112,369,681
  5. Step 5: Solve for x
    x = 602,112,369,681/523,854
  6. Step 6: Final answer
    x = 1,149,389.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.