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Finding the Third Proportional to 466,341 and 713,039

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Solution

The third proportional to 466,341 and 713,039 is: 1,090,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,341 : 713,039 = 713,039 : x
  2. Step 2: Convert to fraction form
    466,341/713,039 = 713,039/x
  3. Step 3: Cross multiply
    466,341x = 713,039 × 713,039
  4. Step 4: Simplify right side
    466,341x = 508,424,615,521
  5. Step 5: Solve for x
    x = 508,424,615,521/466,341
  6. Step 6: Final answer
    x = 1,090,242.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.