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Finding the Third Proportional to 233,386 and 475,334

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Solution

The third proportional to 233,386 and 475,334 is: 968,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,386 : 475,334 = 475,334 : x
  2. Step 2: Convert to fraction form
    233,386/475,334 = 475,334/x
  3. Step 3: Cross multiply
    233,386x = 475,334 × 475,334
  4. Step 4: Simplify right side
    233,386x = 225,942,411,556
  5. Step 5: Solve for x
    x = 225,942,411,556/233,386
  6. Step 6: Final answer
    x = 968,106.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.