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Finding the Third Proportional to 304,312 and 477,356

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Solution

The third proportional to 304,312 and 477,356 is: 748,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,312 : 477,356 = 477,356 : x
  2. Step 2: Convert to fraction form
    304,312/477,356 = 477,356/x
  3. Step 3: Cross multiply
    304,312x = 477,356 × 477,356
  4. Step 4: Simplify right side
    304,312x = 227,868,750,736
  5. Step 5: Solve for x
    x = 227,868,750,736/304,312
  6. Step 6: Final answer
    x = 748,799.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.