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Finding the Third Proportional to 319,952 and 700,160

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Solution

The third proportional to 319,952 and 700,160 is: 1,532,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,952 : 700,160 = 700,160 : x
  2. Step 2: Convert to fraction form
    319,952/700,160 = 700,160/x
  3. Step 3: Cross multiply
    319,952x = 700,160 × 700,160
  4. Step 4: Simplify right side
    319,952x = 490,224,025,600
  5. Step 5: Solve for x
    x = 490,224,025,600/319,952
  6. Step 6: Final answer
    x = 1,532,179.91

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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.