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Finding the Third Proportional to 341,564 and 501,263

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Solution

The third proportional to 341,564 and 501,263 is: 735,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,564 : 501,263 = 501,263 : x
  2. Step 2: Convert to fraction form
    341,564/501,263 = 501,263/x
  3. Step 3: Cross multiply
    341,564x = 501,263 × 501,263
  4. Step 4: Simplify right side
    341,564x = 251,264,595,169
  5. Step 5: Solve for x
    x = 251,264,595,169/341,564
  6. Step 6: Final answer
    x = 735,629.62

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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.