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Finding the Third Proportional to 506,352 and 762,768

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Solution

The third proportional to 506,352 and 762,768 is: 1,149,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,352 : 762,768 = 762,768 : x
  2. Step 2: Convert to fraction form
    506,352/762,768 = 762,768/x
  3. Step 3: Cross multiply
    506,352x = 762,768 × 762,768
  4. Step 4: Simplify right side
    506,352x = 581,815,021,824
  5. Step 5: Solve for x
    x = 581,815,021,824/506,352
  6. Step 6: Final answer
    x = 1,149,032.73

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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.