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Finding the Third Proportional to 316,948 and 696,103

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Solution

The third proportional to 316,948 and 696,103 is: 1,528,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,948 : 696,103 = 696,103 : x
  2. Step 2: Convert to fraction form
    316,948/696,103 = 696,103/x
  3. Step 3: Cross multiply
    316,948x = 696,103 × 696,103
  4. Step 4: Simplify right side
    316,948x = 484,559,386,609
  5. Step 5: Solve for x
    x = 484,559,386,609/316,948
  6. Step 6: Final answer
    x = 1,528,829.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.