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Finding the Third Proportional to 424,086 and 623,407.50

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Solution

The third proportional to 424,086 and 623,407.50 is: 916,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,086 : 623,407.50 = 623,407.50 : x
  2. Step 2: Convert to fraction form
    424,086/623,407.50 = 623,407.50/x
  3. Step 3: Cross multiply
    424,086x = 623,407.50 × 623,407.50
  4. Step 4: Simplify right side
    424,086x = 388,636,911,056.25
  5. Step 5: Solve for x
    x = 388,636,911,056.25/424,086
  6. Step 6: Final answer
    x = 916,410.61

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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.