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Finding the Third Proportional to 364,577.63 and 534,552.75

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Solution

The third proportional to 364,577.63 and 534,552.75 is: 783,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,577.63 : 534,552.75 = 534,552.75 : x
  2. Step 2: Convert to fraction form
    364,577.63/534,552.75 = 534,552.75/x
  3. Step 3: Cross multiply
    364,577.63x = 534,552.75 × 534,552.75
  4. Step 4: Simplify right side
    364,577.63x = 285,746,642,532.56
  5. Step 5: Solve for x
    x = 285,746,642,532.56/364,577.63
  6. Step 6: Final answer
    x = 783,774.49

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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.