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Finding the Third Proportional to 329,312 and 508,386

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Solution

The third proportional to 329,312 and 508,386 is: 784,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,312 : 508,386 = 508,386 : x
  2. Step 2: Convert to fraction form
    329,312/508,386 = 508,386/x
  3. Step 3: Cross multiply
    329,312x = 508,386 × 508,386
  4. Step 4: Simplify right side
    329,312x = 258,456,324,996
  5. Step 5: Solve for x
    x = 258,456,324,996/329,312
  6. Step 6: Final answer
    x = 784,837.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.