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Finding the Third Proportional to 420,312 and 630,558

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Solution

The third proportional to 420,312 and 630,558 is: 945,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,312 : 630,558 = 630,558 : x
  2. Step 2: Convert to fraction form
    420,312/630,558 = 630,558/x
  3. Step 3: Cross multiply
    420,312x = 630,558 × 630,558
  4. Step 4: Simplify right side
    420,312x = 397,603,391,364
  5. Step 5: Solve for x
    x = 397,603,391,364/420,312
  6. Step 6: Final answer
    x = 945,972.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.