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Finding the Third Proportional to 319,752 and 700,416

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Solution

The third proportional to 319,752 and 700,416 is: 1,534,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,752 : 700,416 = 700,416 : x
  2. Step 2: Convert to fraction form
    319,752/700,416 = 700,416/x
  3. Step 3: Cross multiply
    319,752x = 700,416 × 700,416
  4. Step 4: Simplify right side
    319,752x = 490,582,573,056
  5. Step 5: Solve for x
    x = 490,582,573,056/319,752
  6. Step 6: Final answer
    x = 1,534,259.59

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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.