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Finding the Third Proportional to 425,700 and 619,830

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Solution

The third proportional to 425,700 and 619,830 is: 902,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,700 : 619,830 = 619,830 : x
  2. Step 2: Convert to fraction form
    425,700/619,830 = 619,830/x
  3. Step 3: Cross multiply
    425,700x = 619,830 × 619,830
  4. Step 4: Simplify right side
    425,700x = 384,189,228,900
  5. Step 5: Solve for x
    x = 384,189,228,900/425,700
  6. Step 6: Final answer
    x = 902,488.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.