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Finding the Third Proportional to 506,460.94 and 772,552.69

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Solution

The third proportional to 506,460.94 and 772,552.69 is: 1,178,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,460.94 : 772,552.69 = 772,552.69 : x
  2. Step 2: Convert to fraction form
    506,460.94/772,552.69 = 772,552.69/x
  3. Step 3: Cross multiply
    506,460.94x = 772,552.69 × 772,552.69
  4. Step 4: Simplify right side
    506,460.94x = 596,837,654,963.47
  5. Step 5: Solve for x
    x = 596,837,654,963.47/506,460.94
  6. Step 6: Final answer
    x = 1,178,447.56

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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.