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Finding the Third Proportional to 315,780 and 485,352

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Solution

The third proportional to 315,780 and 485,352 is: 745,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,780 : 485,352 = 485,352 : x
  2. Step 2: Convert to fraction form
    315,780/485,352 = 485,352/x
  3. Step 3: Cross multiply
    315,780x = 485,352 × 485,352
  4. Step 4: Simplify right side
    315,780x = 235,566,563,904
  5. Step 5: Solve for x
    x = 235,566,563,904/315,780
  6. Step 6: Final answer
    x = 745,983.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.