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Finding the Third Proportional to 341,470 and 501,133

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Solution

The third proportional to 341,470 and 501,133 is: 735,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,470 : 501,133 = 501,133 : x
  2. Step 2: Convert to fraction form
    341,470/501,133 = 501,133/x
  3. Step 3: Cross multiply
    341,470x = 501,133 × 501,133
  4. Step 4: Simplify right side
    341,470x = 251,134,283,689
  5. Step 5: Solve for x
    x = 251,134,283,689/341,470
  6. Step 6: Final answer
    x = 735,450.50

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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.