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Finding the Third Proportional to 319,948.31 and 700,160.63

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Solution

The third proportional to 319,948.31 and 700,160.63 is: 1,532,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,948.31 : 700,160.63 = 700,160.63 : x
  2. Step 2: Convert to fraction form
    319,948.31/700,160.63 = 700,160.63/x
  3. Step 3: Cross multiply
    319,948.31x = 700,160.63 × 700,160.63
  4. Step 4: Simplify right side
    319,948.31x = 490,224,900,800.39
  5. Step 5: Solve for x
    x = 490,224,900,800.39/319,948.31
  6. Step 6: Final answer
    x = 1,532,200.30

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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.