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Finding the Third Proportional to 713,173 and 971,343

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Solution

The third proportional to 713,173 and 971,343 is: 1,322,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,173 : 971,343 = 971,343 : x
  2. Step 2: Convert to fraction form
    713,173/971,343 = 971,343/x
  3. Step 3: Cross multiply
    713,173x = 971,343 × 971,343
  4. Step 4: Simplify right side
    713,173x = 943,507,223,649
  5. Step 5: Solve for x
    x = 943,507,223,649/713,173
  6. Step 6: Final answer
    x = 1,322,971.04

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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.