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Finding the Third Proportional to 506,463 and 772,556

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Solution

The third proportional to 506,463 and 772,556 is: 1,178,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,463 : 772,556 = 772,556 : x
  2. Step 2: Convert to fraction form
    506,463/772,556 = 772,556/x
  3. Step 3: Cross multiply
    506,463x = 772,556 × 772,556
  4. Step 4: Simplify right side
    506,463x = 596,842,773,136
  5. Step 5: Solve for x
    x = 596,842,773,136/506,463
  6. Step 6: Final answer
    x = 1,178,452.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.