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Finding the Third Proportional to 319,904 and 700,070

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Solution

The third proportional to 319,904 and 700,070 is: 1,532,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,904 : 700,070 = 700,070 : x
  2. Step 2: Convert to fraction form
    319,904/700,070 = 700,070/x
  3. Step 3: Cross multiply
    319,904x = 700,070 × 700,070
  4. Step 4: Simplify right side
    319,904x = 490,098,004,900
  5. Step 5: Solve for x
    x = 490,098,004,900/319,904
  6. Step 6: Final answer
    x = 1,532,015.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.