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Finding the Third Proportional to 383,572 and 600,402

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Solution

The third proportional to 383,572 and 600,402 is: 939,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,572 : 600,402 = 600,402 : x
  2. Step 2: Convert to fraction form
    383,572/600,402 = 600,402/x
  3. Step 3: Cross multiply
    383,572x = 600,402 × 600,402
  4. Step 4: Simplify right side
    383,572x = 360,482,561,604
  5. Step 5: Solve for x
    x = 360,482,561,604/383,572
  6. Step 6: Final answer
    x = 939,804.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.