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Finding the Third Proportional to 319,946 and 700,154

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Solution

The third proportional to 319,946 and 700,154 is: 1,532,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,946 : 700,154 = 700,154 : x
  2. Step 2: Convert to fraction form
    319,946/700,154 = 700,154/x
  3. Step 3: Cross multiply
    319,946x = 700,154 × 700,154
  4. Step 4: Simplify right side
    319,946x = 490,215,623,716
  5. Step 5: Solve for x
    x = 490,215,623,716/319,946
  6. Step 6: Final answer
    x = 1,532,182.38

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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.