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Finding the Third Proportional to 319,070 and 696,096

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Solution

The third proportional to 319,070 and 696,096 is: 1,518,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,070 : 696,096 = 696,096 : x
  2. Step 2: Convert to fraction form
    319,070/696,096 = 696,096/x
  3. Step 3: Cross multiply
    319,070x = 696,096 × 696,096
  4. Step 4: Simplify right side
    319,070x = 484,549,641,216
  5. Step 5: Solve for x
    x = 484,549,641,216/319,070
  6. Step 6: Final answer
    x = 1,518,631.15

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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.