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Finding the Third Proportional to 483,098 and 709,875

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Solution

The third proportional to 483,098 and 709,875 is: 1,043,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,098 : 709,875 = 709,875 : x
  2. Step 2: Convert to fraction form
    483,098/709,875 = 709,875/x
  3. Step 3: Cross multiply
    483,098x = 709,875 × 709,875
  4. Step 4: Simplify right side
    483,098x = 503,922,515,625
  5. Step 5: Solve for x
    x = 503,922,515,625/483,098
  6. Step 6: Final answer
    x = 1,043,106.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.