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Finding the Third Proportional to 424,098 and 623,443.50

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Solution

The third proportional to 424,098 and 623,443.50 is: 916,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098 : 623,443.50 = 623,443.50 : x
  2. Step 2: Convert to fraction form
    424,098/623,443.50 = 623,443.50/x
  3. Step 3: Cross multiply
    424,098x = 623,443.50 × 623,443.50
  4. Step 4: Simplify right side
    424,098x = 388,681,797,692.25
  5. Step 5: Solve for x
    x = 388,681,797,692.25/424,098
  6. Step 6: Final answer
    x = 916,490.52

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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.