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Finding the Third Proportional to 319,671 and 532,710

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Solution

The third proportional to 319,671 and 532,710 is: 887,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,671 : 532,710 = 532,710 : x
  2. Step 2: Convert to fraction form
    319,671/532,710 = 532,710/x
  3. Step 3: Cross multiply
    319,671x = 532,710 × 532,710
  4. Step 4: Simplify right side
    319,671x = 283,779,944,100
  5. Step 5: Solve for x
    x = 283,779,944,100/319,671
  6. Step 6: Final answer
    x = 887,725.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.