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Finding the Third Proportional to 316,143 and 562,113

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Solution

The third proportional to 316,143 and 562,113 is: 999,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,143 : 562,113 = 562,113 : x
  2. Step 2: Convert to fraction form
    316,143/562,113 = 562,113/x
  3. Step 3: Cross multiply
    316,143x = 562,113 × 562,113
  4. Step 4: Simplify right side
    316,143x = 315,971,024,769
  5. Step 5: Solve for x
    x = 315,971,024,769/316,143
  6. Step 6: Final answer
    x = 999,456.02

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.