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Finding the Third Proportional to 623,497 and 939,457.50

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Solution

The third proportional to 623,497 and 939,457.50 is: 1,415,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,497 : 939,457.50 = 939,457.50 : x
  2. Step 2: Convert to fraction form
    623,497/939,457.50 = 939,457.50/x
  3. Step 3: Cross multiply
    623,497x = 939,457.50 × 939,457.50
  4. Step 4: Simplify right side
    623,497x = 882,580,394,306.25
  5. Step 5: Solve for x
    x = 882,580,394,306.25/623,497
  6. Step 6: Final answer
    x = 1,415,532.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.