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Finding the Third Proportional to 713,164 and 971,323

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Solution

The third proportional to 713,164 and 971,323 is: 1,322,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,164 : 971,323 = 971,323 : x
  2. Step 2: Convert to fraction form
    713,164/971,323 = 971,323/x
  3. Step 3: Cross multiply
    713,164x = 971,323 × 971,323
  4. Step 4: Simplify right side
    713,164x = 943,468,370,329
  5. Step 5: Solve for x
    x = 943,468,370,329/713,164
  6. Step 6: Final answer
    x = 1,322,933.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.