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Finding the Third Proportional to 341,432 and 747,913

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Solution

The third proportional to 341,432 and 747,913 is: 1,638,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,432 : 747,913 = 747,913 : x
  2. Step 2: Convert to fraction form
    341,432/747,913 = 747,913/x
  3. Step 3: Cross multiply
    341,432x = 747,913 × 747,913
  4. Step 4: Simplify right side
    341,432x = 559,373,855,569
  5. Step 5: Solve for x
    x = 559,373,855,569/341,432
  6. Step 6: Final answer
    x = 1,638,317.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.