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Finding the Third Proportional to 315,712 and 482,964

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Solution

The third proportional to 315,712 and 482,964 is: 738,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,712 : 482,964 = 482,964 : x
  2. Step 2: Convert to fraction form
    315,712/482,964 = 482,964/x
  3. Step 3: Cross multiply
    315,712x = 482,964 × 482,964
  4. Step 4: Simplify right side
    315,712x = 233,254,225,296
  5. Step 5: Solve for x
    x = 233,254,225,296/315,712
  6. Step 6: Final answer
    x = 738,819.64

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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.