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Finding the Third Proportional to 480,750 and 713,712

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Solution

The third proportional to 480,750 and 713,712 is: 1,059,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,750 : 713,712 = 713,712 : x
  2. Step 2: Convert to fraction form
    480,750/713,712 = 713,712/x
  3. Step 3: Cross multiply
    480,750x = 713,712 × 713,712
  4. Step 4: Simplify right side
    480,750x = 509,384,818,944
  5. Step 5: Solve for x
    x = 509,384,818,944/480,750
  6. Step 6: Final answer
    x = 1,059,562.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.