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Finding the Third Proportional to 316,140 and 562,107

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Solution

The third proportional to 316,140 and 562,107 is: 999,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,140 : 562,107 = 562,107 : x
  2. Step 2: Convert to fraction form
    316,140/562,107 = 562,107/x
  3. Step 3: Cross multiply
    316,140x = 562,107 × 562,107
  4. Step 4: Simplify right side
    316,140x = 315,964,279,449
  5. Step 5: Solve for x
    x = 315,964,279,449/316,140
  6. Step 6: Final answer
    x = 999,444.17

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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.