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Finding the Third Proportional to 319,046 and 696,046

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Solution

The third proportional to 319,046 and 696,046 is: 1,518,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046 : 696,046 = 696,046 : x
  2. Step 2: Convert to fraction form
    319,046/696,046 = 696,046/x
  3. Step 3: Cross multiply
    319,046x = 696,046 × 696,046
  4. Step 4: Simplify right side
    319,046x = 484,480,034,116
  5. Step 5: Solve for x
    x = 484,480,034,116/319,046
  6. Step 6: Final answer
    x = 1,518,527.22

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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.