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Finding the Third Proportional to 316,788 and 689,343

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Solution

The third proportional to 316,788 and 689,343 is: 1,500,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,788 : 689,343 = 689,343 : x
  2. Step 2: Convert to fraction form
    316,788/689,343 = 689,343/x
  3. Step 3: Cross multiply
    316,788x = 689,343 × 689,343
  4. Step 4: Simplify right side
    316,788x = 475,193,771,649
  5. Step 5: Solve for x
    x = 475,193,771,649/316,788
  6. Step 6: Final answer
    x = 1,500,037.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.