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Finding the Third Proportional to 406,477.13 and 603,820.13

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Solution

The third proportional to 406,477.13 and 603,820.13 is: 896,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,477.13 : 603,820.13 = 603,820.13 : x
  2. Step 2: Convert to fraction form
    406,477.13/603,820.13 = 603,820.13/x
  3. Step 3: Cross multiply
    406,477.13x = 603,820.13 × 603,820.13
  4. Step 4: Simplify right side
    406,477.13x = 364,598,743,355.02
  5. Step 5: Solve for x
    x = 364,598,743,355.02/406,477.13
  6. Step 6: Final answer
    x = 896,972.35

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Why These Related Problems?

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