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Finding the Third Proportional to 406,476.50 and 603,820

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Solution

The third proportional to 406,476.50 and 603,820 is: 896,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,476.50 : 603,820 = 603,820 : x
  2. Step 2: Convert to fraction form
    406,476.50/603,820 = 603,820/x
  3. Step 3: Cross multiply
    406,476.50x = 603,820 × 603,820
  4. Step 4: Simplify right side
    406,476.50x = 364,598,592,400
  5. Step 5: Solve for x
    x = 364,598,592,400/406,476.50
  6. Step 6: Final answer
    x = 896,973.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.