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Finding the Third Proportional to 420,500 and 934,312

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Solution

The third proportional to 420,500 and 934,312 is: 2,075,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,500 : 934,312 = 934,312 : x
  2. Step 2: Convert to fraction form
    420,500/934,312 = 934,312/x
  3. Step 3: Cross multiply
    420,500x = 934,312 × 934,312
  4. Step 4: Simplify right side
    420,500x = 872,938,913,344
  5. Step 5: Solve for x
    x = 872,938,913,344/420,500
  6. Step 6: Final answer
    x = 2,075,954.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.