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Finding the Third Proportional to 319,952 and 700,169

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Solution

The third proportional to 319,952 and 700,169 is: 1,532,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,952 : 700,169 = 700,169 : x
  2. Step 2: Convert to fraction form
    319,952/700,169 = 700,169/x
  3. Step 3: Cross multiply
    319,952x = 700,169 × 700,169
  4. Step 4: Simplify right side
    319,952x = 490,236,628,561
  5. Step 5: Solve for x
    x = 490,236,628,561/319,952
  6. Step 6: Final answer
    x = 1,532,219.30

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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.