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Finding the Third Proportional to 428,870.50 and 630,830

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Solution

The third proportional to 428,870.50 and 630,830 is: 927,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,870.50 : 630,830 = 630,830 : x
  2. Step 2: Convert to fraction form
    428,870.50/630,830 = 630,830/x
  3. Step 3: Cross multiply
    428,870.50x = 630,830 × 630,830
  4. Step 4: Simplify right side
    428,870.50x = 397,946,488,900
  5. Step 5: Solve for x
    x = 397,946,488,900/428,870.50
  6. Step 6: Final answer
    x = 927,894.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.