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Finding the Third Proportional to 713,240 and 971,444

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Solution

The third proportional to 713,240 and 971,444 is: 1,323,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,240 : 971,444 = 971,444 : x
  2. Step 2: Convert to fraction form
    713,240/971,444 = 971,444/x
  3. Step 3: Cross multiply
    713,240x = 971,444 × 971,444
  4. Step 4: Simplify right side
    713,240x = 943,703,445,136
  5. Step 5: Solve for x
    x = 943,703,445,136/713,240
  6. Step 6: Final answer
    x = 1,323,121.87

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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.